MIT Entrance Exam Problem from 1869

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  • Опубликовано: 10 сен 2024

Комментарии • 2,2 тыс.

  • @omega7845
    @omega7845 8 месяцев назад +6958

    I wish these kind of questions came in Indian entrance exams 😂😂

    • @Blue_3987
      @Blue_3987 7 месяцев назад +391

      Probably did at some time, lol just like these came in mit entrance 200 years ago approx

    • @plsgostudy
      @plsgostudy 7 месяцев назад

      No they didn't ​@@Blue_3987

    • @user-dt1dr9ew6j
      @user-dt1dr9ew6j 7 месяцев назад +74

      Bro u just forgot about jee

    • @thoroughfaretonothingness623
      @thoroughfaretonothingness623 7 месяцев назад

      Jee has nothing like these questions..they dump calculus​@@user-dt1dr9ew6j

    • @ironman-os8zq
      @ironman-os8zq 7 месяцев назад

      😂❤​@@user-dt1dr9ew6j

  • @andyx7013
    @andyx7013 9 месяцев назад +7323

    This is proof that each year kids are expected to learn more at a faster pace. Thank you for 5000 likes.

    • @jjj-11
      @jjj-11 8 месяцев назад +106

      Well it’s a good thing

    • @dr.sunitadhiwar1443
      @dr.sunitadhiwar1443 8 месяцев назад +13

      Yes​@@jjj-11

    • @divineflu34567
      @divineflu34567 8 месяцев назад +102

      Yes even our parents generation has easier questions than us to study

    • @Mari143
      @Mari143 8 месяцев назад +26

      ​@@jjj-11 Nope , it aint

    • @xxslayer255xx
      @xxslayer255xx 8 месяцев назад +101

      ​@@Mari143 How will continued innovation come if future generations are never expected to surpass the previous?

  • @Dazai_200
    @Dazai_200 4 месяца назад +777

    Why is nobody in comment section understanding that this its from *1869* nearly 150 years ago

    • @mythily6374
      @mythily6374 3 месяца назад +31

      Yea but calculus was invented almost another 150 years before that.

    • @Simonk_6
      @Simonk_6 2 месяца назад +7

      @@mythily6374calculus was arguable invented in like 600

    • @Dazai_200
      @Dazai_200 2 месяца назад +5

      ​@@Jake-cc7ie yep to be exact it is 155 years

    • @babumoshai123
      @babumoshai123 2 месяца назад +5

      Because first human brain try to put there joke on comment after that they will notice there environment.

    • @czgamer7857
      @czgamer7857 Месяц назад +1

      Not nearly 150, it's 155

  • @whatohhellnah
    @whatohhellnah 8 месяцев назад +508

    I guess I’m the only one who didn’t think this was easy

    • @waxbruh5965
      @waxbruh5965 7 месяцев назад +19

      Me too buds lol

    • @unspecifiedunit9126
      @unspecifiedunit9126 7 месяцев назад +24

      If you learned Algebra 2, you would find this problem pretty easy. Like a textbook problem the teacher just casually hands out.

    • @whatohhellnah
      @whatohhellnah 7 месяцев назад +40

      @@unspecifiedunit9126 low key never did algebra 2. Did intermediate algebra in college then jumped straight into precalc/calc1

    • @theLowestPointInMyLife
      @theLowestPointInMyLife 7 месяцев назад +6

      same but I have an excuse, I didnt go to school

    • @siripaladeemalsha9781
      @siripaladeemalsha9781 6 месяцев назад

      Because your fucking dumb ass aneyone can solve this even my dog😂

  • @stephanedwards3083
    @stephanedwards3083 3 месяца назад +51

    Education has gotten to a point where you see an easy question like this, proceed to overthink it, then realize it was actually not that hard after you struggle to approach it. School has traumatized a lot of students into doubting themselves when approaching questions and this is evidence of me being said student. Damn.

    • @AnimeFusionUpdatesz
      @AnimeFusionUpdatesz 2 месяца назад +1

      Well I always wonder why the hell they introduced Alphabets in Maths?

    • @stephanedwards3083
      @stephanedwards3083 2 месяца назад

      @@AnimeFusionUpdatesz 🤣

    • @AnimeFusionUpdatesz
      @AnimeFusionUpdatesz 2 месяца назад

      @@stephanedwards3083 I know it's for problem solving but what problem?

    • @stephanedwards3083
      @stephanedwards3083 2 месяца назад +2

      @@AnimeFusionUpdatesz letters are simply placeholders for unknown variables or constants that we would rather left unwritten. For example, g which represents acceleration due to gravity. 9.81 m/s^2. That’s pretty much all they’re useful for.

    • @AnimeFusionUpdatesz
      @AnimeFusionUpdatesz 2 месяца назад

      @@stephanedwards3083 I don't even understand any of this
      I got 4 out of 15 in maths
      But got 14 out of 15 in English
      I don't understand why I can't do good in Maths

  • @asheshgupta4845
    @asheshgupta4845 Год назад +5671

    In 1869 there was no internet, good books , nor people were forced to study and course that u study this time wasnt developed like today so this was a high level question at that time and this question is at super hard level according to their standard

    • @cr7savage709
      @cr7savage709 11 месяцев назад +139

      Vs now where we see this in algebra 2

    • @xxcrazyxxnonesisto6138
      @xxcrazyxxnonesisto6138 10 месяцев назад +86

      This put a perspective on how for example those scientists were so good

    • @wakeupthewublins69
      @wakeupthewublins69 10 месяцев назад +35

      @@cr7savage709Algebra 1 if your teacher is on a bad day

    • @erronblack5015
      @erronblack5015 9 месяцев назад +37

      Are you out your mind? People were indeed forced to study and pretty advanced math was going on in late 19th century

    • @samuraiplayz2819
      @samuraiplayz2819 9 месяцев назад +20

      Bruh just cuz there isn’t internet doesn’t mean u can’t learn from books

  • @sohamsatapathy4151
    @sohamsatapathy4151 Год назад +13138

    The average 12 year-old Indian schoolkid can solve this.
    Edit : 7,000 LIKES !!!!! Oh My Gaaaa I'm famoooooos !

    • @ecrenkof482
      @ecrenkof482 Год назад +286

      Turkish child too

    • @anupkumarchowdhury5091
      @anupkumarchowdhury5091 Год назад +537

      Give them JEE advance problem

    • @konnie_999-h6w
      @konnie_999-h6w Год назад +233

      Bruhh yess I'm 14 and I could do it
      It seemed easy
      I wonder if it's really MIT question paper
      I'm from 🇧🇩

    • @bappyhasanjahid4985
      @bappyhasanjahid4985 Год назад +522

      its from 1869.and its an entrance exam question not the whole question paper. and people who are saying them to solve jee questions, i wanna ask them does jee gives you a chance in getting mit.nope.with time standards changes

    • @bappyhasanjahid4985
      @bappyhasanjahid4985 Год назад +204

      ​@@konnie_999-h6w yes it is.and don't get cocky because this is just one question not the whole paper.its from 1869 standards back then were different from now

  • @YYYOOOLLLLOOO
    @YYYOOOLLLLOOO 2 месяца назад +12

    Every time you go on ANY math related video, especially around old entrance exams, SAT and ACT videos, you will without fail find some Indians say "bro so easy try Jee advanced". But its like they completely ignore context. In 1860 the common person did not go to university so competition was lower. SAT / ACT are not meant to be advanced mathematics tests for engineering students, its only function is to see if you meet the basic level to go to university and at the university, depending on your major, you will take advanced mathematics. Just taking some unnecessarily hard math test to try and get into a university thats not even a top contender in Asia doesn't mean anything.

    • @MoMo-rx4zr
      @MoMo-rx4zr Месяц назад

      Unfortunately, as an Asian, the focus is heavy on stem…but very light on critical thinking and reading comprehension. It’s why PhD/ and whole drs will believe random shit they see on whatsapp

    • @nobody_2020
      @nobody_2020 7 дней назад

      Faxx

  • @darcash1738
    @darcash1738 8 месяцев назад +538

    I wish they would have entrance exams like these nowadays.
    Maybe a hefty degree more difficult for good measure 😂

    • @gteixeira
      @gteixeira 8 месяцев назад +15

      You wish not. If the questions are that easy, everyone will get it, but doing a mistake is going to be just a coin flip. You can't really outstudy an easy exam.

    • @suhaasvemuri7980
      @suhaasvemuri7980 8 месяцев назад +11

      @@gteixeira Very true. For many of our school's science olympiad competitions, close to the end of the year, most of the students are so well-versed in the concepts tested that even one mistake can take you out of the top 5.

    • @eiyp3
      @eiyp3 8 месяцев назад +1

      It was never easy, this same problem must have been real difficult for them at that time just like our difficult problems would be a piece of cake for a kid of 2300s

    • @upscshorts45196
      @upscshorts45196 7 месяцев назад

      It will result in crazy cut off

    • @user-po5gr8zn8r
      @user-po5gr8zn8r 7 месяцев назад

      If today's level was in 1869 then the difficulty increase in today's level exam paper would require everyone to become scientist to clear them.

  • @LilianaFeinauer-wk3rh
    @LilianaFeinauer-wk3rh 6 месяцев назад +36

    The fact that I have no idea what I’m looking at is concerning 😭

    • @nagamanisagi3977
      @nagamanisagi3977 3 месяца назад +1

      What age are you?

    • @Bellarus.timiki
      @Bellarus.timiki 2 месяца назад +2

      Dude i learned this when i was 12 😨

    • @moixemi
      @moixemi 22 дня назад

      @@Bellarus.timikiif you’re asian u are genuinely lucky, I envy the education that they provide there

    • @Bellarus.timiki
      @Bellarus.timiki 21 день назад

      @@moixemi im a white american 😞

    • @ManojYadav-mj6ud
      @ManojYadav-mj6ud 21 день назад

      ​​@@moixemiyes as an asian there were more difficult questions in our 9th class mathematics book.

  • @rythmx123
    @rythmx123 Год назад +2101

    If that is a MIT question, im Albert Einstein 😋

  • @pritamdatta167
    @pritamdatta167 11 месяцев назад +35

    these kids think by solving a qs from 1869 will make them smarter than MIT people. Ngga most modern mathematician nd physicists weren't even born at that time😭😭

    • @gteixeira
      @gteixeira 8 месяцев назад +1

      So /real/ mathematics hasn't existed since modern mathematicians have been born?

    • @Africanaerial
      @Africanaerial 3 месяца назад

      Ask for an n word pass. Do not ask me, My response is no.

    • @hokhanh7266
      @hokhanh7266 3 месяца назад

      @@gteixeiraThat doesn’t make sense. So the field of math since 1869 hasn’t developed?

    • @jawbreakergd1203
      @jawbreakergd1203 3 месяца назад

      @@gteixeirawhat are you on about

  • @leopardd3744
    @leopardd3744 Год назад +963

    Me being out of high-school for 4 years tryna figure out wtf he talking about.

    • @srs6461
      @srs6461 Год назад +41

      It's factoring. Look at the numerator and denominator as separate. You're just rewriting and not doing any hard calculation.

    • @bungus49
      @bungus49 Год назад +102

      math is all about practice really, 4 years no practice I would have forgotten everything. It's the way one SEES mathematics that allows success.

    • @vicrattlehead8665
      @vicrattlehead8665 11 месяцев назад

      @@bungus49that’s the most recognizable cow…

    • @windshearahead7012
      @windshearahead7012 10 месяцев назад +5

      Useless stuff.

    • @CloneReaper
      @CloneReaper 10 месяцев назад

      @@windshearahead7012 lol don't feel too bad that u stupid.

  • @manwithhinge
    @manwithhinge 6 месяцев назад +7

    People in this comment section are trying really hard to get the unlikable person award.

  • @patrickschott265
    @patrickschott265 8 месяцев назад +18

    First problem I could actually solve

  • @thoughtsengineer
    @thoughtsengineer 8 месяцев назад +54

    Be careful! You also need to make a note that this simplification excludes all cases where x^3 + a^2 y = 0. Of course, in the SAT won’t matter much, but in college it will when you must give handwritten answers.

    • @Fervif
      @Fervif 7 месяцев назад +1

      Bro the denominator can't be 0

    • @TheOutZZ
      @TheOutZZ 7 месяцев назад +1

      ​@@FervifIt can be, but since the question asks to reduce to the lowest terms, the existence of the denominator seems to be implied for a simplification to even take place, i.e. it doesn't matter for _symbolic_ manipulation.

    • @KevinSamuelsKid
      @KevinSamuelsKid 7 месяцев назад

      You mean where (x^3 - a^2y) = 0

    • @KevinSamuelsKid
      @KevinSamuelsKid 7 месяцев назад

      @@FervifThat’s the point in stating that all values where the denominator = 0 must be excluded for the simplification to be valid

  • @thewatcher1249
    @thewatcher1249 7 месяцев назад +3

    you could also just subtract everything then flip what’s needed under/ over the denominator and you would get the same answer

  • @petercheng2461
    @petercheng2461 8 месяцев назад +47

    As an mit applicant from 1869, i can confirm i have no idea what’s going on (but daddy’s a millionaire)

  • @madi_stellar
    @madi_stellar 13 дней назад

    This was a problem we had in school in advanced freshman math, I wish it were still this easy.

  • @mdtanvirulsakib
    @mdtanvirulsakib 7 месяцев назад +1

    A^2-b^2=(a+b).(a-b) , show it to on the screen, so people can't get confused whoever is new

    • @moixemi
      @moixemi 22 дня назад

      THANK YOU🙏🙏🙏🙏🙏🙏🙏

  • @toreaman
    @toreaman 6 месяцев назад +7

    Did it in my head. Felt good about myself. Reassuring to know they haven’t admitted me for nothing. #MFin #ClassOf2017

  • @Mamikuu
    @Mamikuu 4 месяца назад +42

    You made that so much more complicated than it needed to be 😭

    • @pika4126
      @pika4126 4 месяца назад +3

      its about showing your work

    • @Dale-py1vs
      @Dale-py1vs 4 месяца назад +14

      this is literally the quickest way to solve the question😂

    • @6IGNITION9
      @6IGNITION9 4 месяца назад +4

      What's a simpler way to solve it?

    • @ngshaz2582
      @ngshaz2582 3 месяца назад

      ​@@6IGNITION9we directly cancel them 😊😊😊

    • @lucafont689
      @lucafont689 Месяц назад

      ​@@6IGNITION9 easy. cancel out the exponents and check what will be left.

  • @John-lf3xf
    @John-lf3xf Год назад +11

    Trivial Factor x^3 from the numerator.
    Factories th3 denominator using the identity a^2-b^2=(a-b)(a+b).
    You’ll obtain x^3/(x^3-a^y)

  • @sojozela
    @sojozela 7 месяцев назад +2

    It's straight forward, yet it can be simplified even further.

    • @ParanoidFred
      @ParanoidFred 7 месяцев назад

      Explain it

    • @buildaboatyeet6401
      @buildaboatyeet6401 6 месяцев назад +3

      No, no it can't.

    • @jip521
      @jip521 5 месяцев назад

      no you can’t simplify it further since it is addition. only if it was multiplication would it work

  • @lilac624
    @lilac624 Год назад +15

    Factoring is important in here ..

  • @monkedegenerate3401
    @monkedegenerate3401 Год назад +6

    After the multitude of repetition of this video, I've finally grasp the knowledge...

  • @i_theaman
    @i_theaman 8 месяцев назад +17

    This is why, Sheldon Cooper doesn't respect MIT scholars.

    • @ZoidVERSE
      @ZoidVERSE 7 месяцев назад +5

      it's from 1869 bruh

    • @caroid9093
      @caroid9093 6 месяцев назад +1

      Sheldon doesn't like MIT because of paige

    • @AnthonyLauder
      @AnthonyLauder 2 месяца назад

      Sheldon doesn't like MIT because it is a "trade school" where engineers actually get their hands dirty. Although, in the TV show Young Sheldon they claim it is because it snowed when he landed in Boston, so he turned around and left back for California.

  • @TankiMai
    @TankiMai Месяц назад +2

    The handwriting 🔥🔥🔥🔥

  • @tonygaytan9848
    @tonygaytan9848 2 месяца назад

    What a gift of contribution to humanity.

  • @hejmeddig3103
    @hejmeddig3103 Год назад +68

    I've forgotten basic o level mathematics...thanks for the revision jeez

    • @aryansharmaji
      @aryansharmaji 11 месяцев назад +1

      Do you really think this is basic 😂😂

    • @Gorchellyess
      @Gorchellyess 11 месяцев назад

      O level? Are you talking about kumon?

    • @Lor_Duck
      @Lor_Duck 11 месяцев назад +1

      @@aryansharmajiYour right.
      This is below that

    • @BookAudioz
      @BookAudioz 11 месяцев назад

      😂😂😂

  • @ronnie323
    @ronnie323 8 месяцев назад +7

    Katt Williams - “uhhh did you know that some of them is letters”

  • @mauricethomasjr1997
    @mauricethomasjr1997 8 месяцев назад +6

    Omg I solved this in my head while driving! Awesome

    • @zua240
      @zua240 Месяц назад

      Jealous of people like u

  • @Irakli_SKG
    @Irakli_SKG 2 месяца назад

    To simplify the given expression to its lowest terms, let's start by factoring the numerator and the denominator where possible.
    The given expression is:
    \[
    \frac{x^6 + a^2 x^3 y}{x^6 - a^4 y^2}
    \]
    ### Step 1: Factor the numerator
    The numerator \(x^6 + a^2 x^3 y\) can be factored by taking \(x^3\) common:
    \[
    x^6 + a^2 x^3 y = x^3 (x^3 + a^2 y)
    \]
    ### Step 2: Factor the denominator
    The denominator \(x^6 - a^4 y^2\) is a difference of squares:
    \[
    x^6 - a^4 y^2 = (x^3)^2 - (a^2 y)^2 = (x^3 - a^2 y)(x^3 + a^2 y)
    \]
    ### Step 3: Rewrite the expression with factored forms
    \[
    \frac{x^3 (x^3 + a^2 y)}{(x^3 - a^2 y)(x^3 + a^2 y)}
    \]
    ### Step 4: Cancel the common factors
    The term \(x^3 + a^2 y\) appears in both the numerator and the denominator, so we can cancel it out:
    \[
    \frac{x^3 (x^3 + a^2 y)}{(x^3 - a^2 y)(x^3 + a^2 y)} = \frac{x^3}{x^3 - a^2 y}
    \]
    Therefore, the simplified expression is:
    \[
    \frac{x^3}{x^3 - a^2 y}
    \]
    This is the expression in its lowest terms.

  • @Platapi3
    @Platapi3 2 месяца назад +2

    Why are so many people trying to flex, the question is from 150 years ago and its a basic algebra question, it doesnt mean you can get into mit now or your some genius for solving it.

    • @MoMo-rx4zr
      @MoMo-rx4zr Месяц назад

      Inferiority complex and lack of reading comprehension skills/critical thinking skills. In Asia, our schools focus on stem and little on critical thinking. Forget analytical essays lol. It’s why people are so quick to believe propaganda

  • @ninaphilippe
    @ninaphilippe 9 месяцев назад +49

    Actually
    There is one shortcoming.
    You have to be sure that X^3+a^2*y is not zero l, otherwise the simplification is not correct.
    This is the trick and the reason why people would fail such a test

    • @yooniverse1882
      @yooniverse1882 8 месяцев назад +2

      wait but how would that affect the answer because youre cancelling it from both the numerator and denominator

    • @kindanooby2988
      @kindanooby2988 8 месяцев назад +11

      Even if you are cancelling, the denominator can’t be 0 at any stage of the work

    • @gogogooner
      @gogogooner 8 месяцев назад

      Well said
      Click bait bullshitter - will be damned after our machine overlords have swamped the earth will bullshit to end the old and build something new and better. I'm just kidding. We'll just drown in it and that's that.

    • @hhhhhh0175
      @hhhhhh0175 8 месяцев назад +18

      when x^3+a^2y is 0, the original fraction is 0/0 and therefore undefined. your simplification only has to match the original question on its domain (which it does), you just can't use your simplification's new domain to say things about the original version

    • @jjj-11
      @jjj-11 8 месяцев назад

      Yeah but this is only the first question and it was from 1869 so this was a much higher-leveled question for back then

  • @PierreDennis
    @PierreDennis 8 месяцев назад +16

    Me as a designer: "Sooooo...does anyone need a logo?"
    😂😂😂

  • @miamiisoundz
    @miamiisoundz 10 месяцев назад +10

    My brain hurts

  • @gteixeira
    @gteixeira 8 месяцев назад +1

    I used entrance exams all the way from back in the 1930s to study for my entrance exam in 2006 and I hadn't seen much change in the level. Back in Massachusetts in 1869 most people could afford going to school and having public libraries to study further. MIT, however, is a private institution so the major entrance barrier was always the tuition fees, not the smartness of admited students.

  • @techystylo
    @techystylo Год назад +100

    As someone who stinks at math, just thinking about doing this problem in permanent marker is giving me a heart attack

    • @unspecifiedunit9126
      @unspecifiedunit9126 7 месяцев назад +1

      It’s all about repetition and practice man. Having a strong mindset where you value the subject certainly helps too.

  • @yash.icarus
    @yash.icarus 8 месяцев назад +97

    As an 18yrs old Indian boy, I can confirm that I used to do this when I was in my mother's womb.

    • @EinSofQuester
      @EinSofQuester 8 месяцев назад

      As an average indian boy, I can assure you that when my father screwed my mom, only the sperm that could solve this problem was allowed to impregnate my mom's egg

    • @_daddy69_
      @_daddy69_ 8 месяцев назад +3

      I agree 💯

    • @Hans_Magnusson
      @Hans_Magnusson 8 месяцев назад +1

      😂😂😂
      Feature of a fetus 😂😂😂
      Good work mate 👍

  • @arkdotgif
    @arkdotgif Год назад +549

    why is there always some annoying asian kids flexing in the comments of these video. well done, you can solve a maths problem for high school students from the mid 19th century, so can everyone else.

    • @Allenz2205
      @Allenz2205 9 месяцев назад +98

      Ikr. It’s so dumb. In 200 years from now, the same people will be laughing at how simple our current math is lol

    • @ayushbisht6756
      @ayushbisht6756 9 месяцев назад +29

      @@Allenz2205 the math right now is actually very advance , even in colleges we read the math they did 200 years ago

    • @canadianave7361
      @canadianave7361 9 месяцев назад +12

      It's mostly because around the world the education system actually teaches you a thing or two. I'm born and raised mostly in Canada but did a few years of school in Romania, and this problem I can tell you for certain that someone in grade 5 could solve without difficulty, whereas here I'm sure most people who even graduated highschool here might struggle. It's not necessarily that they're flexing, it's more that they're laughing at how stupid NA's education is.

    • @phamson7868
      @phamson7868 9 месяцев назад +81

      Not just any Asian, it's ( most of the time) an Indian guy

    • @MABX360
      @MABX360 9 месяцев назад +23

      @@canadianave7361 Hmmm then I wonder why NA continues to lead the world in technology and advancement

  • @ctsirkass
    @ctsirkass Месяц назад

    makes sense to have such easy exams that far in the past

  • @kkiimm009
    @kkiimm009 9 месяцев назад +2

    I would probably be able to do it 10 years ago, but now I have forgotten almost everything.

  • @qxnly
    @qxnly 9 месяцев назад +8

    as a 12 year old, cross canceled and got it correct

  • @flavanone9884
    @flavanone9884 9 месяцев назад +6

    Why yall tryna flex in here. Congrats. You solved an algebra problem. Do something elsr

  • @joe4604
    @joe4604 8 месяцев назад +5

    We can simply it to x^3/(1-a^2y) . Right ?????

  • @matthewkelley2084
    @matthewkelley2084 8 месяцев назад +1

    This is actually something to expose young kids to!!! Make it fun not scary!

  • @ChromosomeXX
    @ChromosomeXX 27 дней назад

    Good, we're not going backward

  • @deatheater5212
    @deatheater5212 8 месяцев назад +7

    I understand nothing and i am proud of that😅😅😅😅

  • @haikalafandi6511
    @haikalafandi6511 8 месяцев назад +21

    my brain is fried
    and my brain ain't braining

    • @monke532
      @monke532 7 месяцев назад

      same İ got x^3/-2y somehow
      x^6 + a^2 x^3 y
      ---------
      x^6 - a^4 y^2
      x^6 + a^2 x^3 y
      ---------
      x^6 + - a^4 y^2
      x^6/x^6 = 1
      1 (a^2 x^3 y)
      -------
      1 (- a^4 y^2)
      a^2 x^3 y
      ------
      - a^4 y^2
      a^2/-a^4 = 1/-2
      1 (x^3 y)
      ------
      -2 (y^2)
      x^3 y
      ----
      -2y^2
      (x^3 y)
      ----
      y
      -----
      ( -2y^2)
      ----
      (x^3 y)/y = x^3
      (-2y^2)/y = -2y
      x^3
      --
      1
      --
      2y
      --
      1
      x^3/1 = x^3
      2y/1 = 2y
      x^3
      ---
      - 2y

    • @user-rx4sv9kx9d
      @user-rx4sv9kx9d 7 месяцев назад +1

      u must be pretty slow 💀

    • @Thegreatestman542
      @Thegreatestman542 4 месяца назад +1

      An average 12 year old Indian can do this in a minute.

    • @Janersssss
      @Janersssss Месяц назад

      @@user-rx4sv9kx9d don’t say that, they might be younger, or may not practice math regularly.

    • @moixemi
      @moixemi 22 дня назад

      @@user-rx4sv9kx9dNOT EVERYBODY IS FUCKING ASIAN HOLY SHIT😭😭😭

  • @sreerampriya3466
    @sreerampriya3466 Год назад +62

    I literally didn't even lift my pen

    • @baselinesweb
      @baselinesweb 10 месяцев назад +19

      Whoopdee doo - good for you.

    • @ugIybot
      @ugIybot 9 месяцев назад +1

      I didn't even watch the video, I solved it through this guy verbally explaining the rational expressions

    • @jjj-11
      @jjj-11 8 месяцев назад +1

      Nor did anybody. This problem from 1869 would be a cinch for any 6th grader, regardless of where their from.

    • @Joeylikeswakkie
      @Joeylikeswakkie 8 месяцев назад +2

      Badass alert weeewoooo

    • @shutaskillz3936
      @shutaskillz3936 7 месяцев назад

      Want a cookie🍪

  • @dustincaldwell2354
    @dustincaldwell2354 Месяц назад +1

    Once I was working as a janitor for a college and a professor wrote this problem on a board in the hall and I solved it. He wanted to take me on as his protege, but I really just wanted get drunk with my buddies and get into fights… Until I met this girl. After going through a number of therapists, I realized that the bad things that happened to me in my life weren’t my fault. I had a good cry and went after the love of my life and accepted a job as a literal genius.

    • @musolengongola180
      @musolengongola180 24 дня назад

      Update on what's happening now❤🥺

    • @karthickjayaraman2090
      @karthickjayaraman2090 День назад

      ​@@musolengongola180 That guy is saying
      'Good Will Hunting' movie's story line 😂

  • @devvv.77z
    @devvv.77z 5 месяцев назад +1

    Assume Value Of X = 1 In Question And Also in the other options , The One Who gets matched with Question Will be the correct Option.
    This method Can be used if you don't know How to factories 😂😊

  • @user-lz1yb6qk3f
    @user-lz1yb6qk3f 2 месяца назад +6

    You've left unaccounted the case when (x^3 + a^2 y) = 0

  • @BARBERSHOPP
    @BARBERSHOPP 8 месяцев назад +13

    bro really did 3 extra steps just to make it more confusing

    • @onddu2254
      @onddu2254 8 месяцев назад

      You're tripping if you think those steps made it more confusing.

    • @ShivenStudy
      @ShivenStudy 8 месяцев назад

      @@onddu2254he wrote it really close making it confusing. Need more distance between steps

  • @AdityaSingh-ox7ni
    @AdityaSingh-ox7ni Год назад +10

    bhai 1869 ki problem hai wo 😭, at that time there were less people who could crack the paper. with internet now sab padh sakte hai, that time sabko khud se padhna hota tha

    • @nabihakhan6689
      @nabihakhan6689 Год назад

      ​@Vedant Srivastava iit baad ma establish hoa hai 😆

    • @s1nefx
      @s1nefx Год назад +3

      Fr lol💀😭. People really be saying MIT is easy and sht💀. Would love to see them get into MIT

    • @johndough7994
      @johndough7994 11 месяцев назад

      the only actually smart indian in this comments section

  • @uc95nu51
    @uc95nu51 8 месяцев назад +1

    4 cubed to the X factor of 1.5 squared over .3 to the power of 8 quadralaticly rooted in 4s

  • @kilroy987
    @kilroy987 2 месяца назад

    Of course you need to notice that factoring x^3 and rewriting a^4y^2 as a square will actually help you.

  • @XPR-hx2wf
    @XPR-hx2wf 8 месяцев назад +13

    Tells you a lot about how the average intelligence of people has increased over the years. Great video.

    • @namedrop721
      @namedrop721 8 месяцев назад +22

      That’s not true at all. Intelligence has remained relatively stable.
      There are more people with access to information, that part has changed.

  • @dannyleo4791
    @dannyleo4791 Год назад +77

    Damn I would have gotten into MIT easily back in 1869 🤣

    • @nuclearwarhead9845
      @nuclearwarhead9845 9 месяцев назад +24

      You didn't have the same access to resources back then

    • @qwertyuiop2161
      @qwertyuiop2161 9 месяцев назад +3

      yes you would have because acceptance rate was much higher.

    • @gteixeira
      @gteixeira 8 месяцев назад +2

      Make sure you bring some money with you when you get in the time machine because tuition fees would be probably $700 for the whole program with board included.

    • @gteixeira
      @gteixeira 8 месяцев назад

      ​​@@nuclearwarhead9845It was Massachusetts. There were public libraries at any town even back then. It is not like this was in 1649, when people were still sharing a turkey with the natives.

    • @nuclearwarhead9845
      @nuclearwarhead9845 8 месяцев назад +2

      @@gteixeira Last I checked the Internet didn't exist in
      1869

  • @beauthaven6280
    @beauthaven6280 10 месяцев назад +14

    Even as someone who sucks at math, I was still able to solve that question in way fewer steps than that guy took

  • @asmanhudaykulyyev6724
    @asmanhudaykulyyev6724 3 месяца назад

    You can simplify it further by multiplying both the numerator and the denominator by x^-3, so you will end up with 1 / (1 + a^2*y*x^-3), which is convenient to do in applications like DTFT and z-Transform

  • @pauBCN67
    @pauBCN67 8 месяцев назад

    If you substitute a2y => k and X3 => z then the solution seams more evident => z(z + k) / (z+k)(z-k)

  • @AnitaKumari-zy1vx
    @AnitaKumari-zy1vx 8 месяцев назад +3

    To be more precise you can only cancel that factor if x³≠a²y but since x⁶-a⁴y² is in the denominator therefore x³≠a²y and we can cancel it out.

  • @unknown79884
    @unknown79884 Год назад +64

    Why not this question in JEE Advanced 😂

    • @RishantKarn-ws3ce
      @RishantKarn-ws3ce Год назад +1

      First go learn some English

    • @ElonMasks
      @ElonMasks Год назад +6

      ​@@RishantKarn-ws3ceEnglish and critical thinking skills.

    • @kevinkamli609
      @kevinkamli609 9 месяцев назад

      1869

    • @qwertyuiop2161
      @qwertyuiop2161 9 месяцев назад

      use your brain for once.

    • @jjj-11
      @jjj-11 8 месяцев назад +1

      Because it’s almost 2024 and not 1869

  • @ayeshaali9687
    @ayeshaali9687 2 года назад +31

    I don’t understand anything but it’s just good to see it ..........

    • @kate6401
      @kate6401 2 года назад +14

      If you are younger than 12 it will be difficult for you to solve..for ones who are above 12 years of age this problem shall not be difficult according to me

    • @thewolverine7516
      @thewolverine7516 2 года назад +1

      @@kate6401 yeah , it's very simple

    • @kate6401
      @kate6401 2 года назад

      @@thewolverine7516 not for one's below 12...in my school we do this

    • @thewolverine7516
      @thewolverine7516 2 года назад

      @@kate6401 hmm

    • @churripro8226
      @churripro8226 2 года назад +6

      @@thewolverine7516 yeah… now…. This problem is from 1869, I think most people didn’t even know what algebra was back then.

  • @so2_e
    @so2_e Месяц назад +1

    Is the solution to the mathematical equation finished? This surprises me because I am from Iraq 🙂🇮🇶

  • @devvv4616
    @devvv4616 9 месяцев назад +1

    These are the types of problems that once you know how to answer it, it's all easy. Just practice

  • @hydropage2855
    @hydropage2855 9 месяцев назад +38

    These comment sections are always so incredibly toxic. You are all extremely insecure

    • @ConstantDerivative
      @ConstantDerivative 8 месяцев назад

      this is a really easy question though, no clue how it is an MIT entrance exam

    • @soralee1910
      @soralee1910 8 месяцев назад +10

      ​@@ConstantDerivative It's 1869 where education isn't common

    • @ConstantDerivative
      @ConstantDerivative 8 месяцев назад +1

      @@soralee1910 thats fair

    • @gteixeira
      @gteixeira 8 месяцев назад

      What is so bad about it? People seem to be mostly pointing out that in developing countries people learn this at middle school level.

    • @gteixeira
      @gteixeira 8 месяцев назад

      @@soralee1910 In Massachusetts people could afford going to school or using a public library even in 1869. And if you were applying to MIT, your family could afford the tuition fees, so they were probably very rich.

  • @JamesVestal-dz5qm
    @JamesVestal-dz5qm Год назад +9

    Partial fraction decomposition.

    • @ugIybot
      @ugIybot 9 месяцев назад

      Actually, considering how there are polynomials in the numerator and dominator, us mathematicians refer to this "fraction" as a rational expressions

    • @JamesVestal-dz5qm
      @JamesVestal-dz5qm 9 месяцев назад

      @@ugIybot I'm a chemical engineer not a mathematician.

  • @jasonyeszkonis8364
    @jasonyeszkonis8364 2 года назад +7

    In the last step don't you have to reduce the exponents?

    • @leif1075
      @leif1075 Год назад

      HOW COULD you?? Indont think there is a way..

    • @jasonyeszkonis8364
      @jasonyeszkonis8364 Год назад

      ​@@leif1075 this was a while ago when I was learning advanced algebra. I now see that you can't reduce if you have + or - without parentheses

    • @leif1075
      @leif1075 Год назад

      @@jasonyeszkonis8364 I'm not sure what you mean bybthat but in this case you can't because there are no other common factors or smaller powers to write in terms of..donest have tonso with parentheses or adding kr subtracting..unless I misunderstood you

    • @jasonyeszkonis8364
      @jasonyeszkonis8364 Год назад

      @@leif1075 yeah that's what I mean because there is a +/- in the equation below you can't cancel out the cubed x because +/- removes the common denominator

  • @ShadowWing48
    @ShadowWing48 3 месяца назад

    It's amazing how things have changed. What was once an MIT entrance exam question is now standard high school or middle school curriculum (depending on location).

  • @vedanthganiga3169
    @vedanthganiga3169 5 месяцев назад

    India should have this kind of questions in exam ❤

    • @Dazai_200
      @Dazai_200 4 месяца назад

      in 1869? bruh

  • @SMGFCEDITZ
    @SMGFCEDITZ Год назад +12

    As An average Indian School Kid solving JEE Advanced questions,this is tooo hard for me😁

  • @Nub_Fish
    @Nub_Fish 9 месяцев назад +8

    Good job, you solved a problem in 1800’s where most people stopped school at the 8th grade :D

    • @oliver_958
      @oliver_958 9 месяцев назад

      Good job being salty for no reason

    • @lebarondevalois605
      @lebarondevalois605 9 месяцев назад +2

      @@oliver_958good job for not understanding that this is critical for calling this a hard question when an 11 y old could solve it

  • @AnimeArtist44
    @AnimeArtist44 29 дней назад +4

    INDIANS in Exams🗿🗿.
    Indians Practical Knowledge🤡🤡🤡

  • @Sharadshisodia__
    @Sharadshisodia__ 5 месяцев назад

    If it was objective question,I would like to prefer Value putting ,like x = 1 ,y = 2 ,a = 3 ,and check the answer

  • @Sklyricalsongsofficial123
    @Sklyricalsongsofficial123 3 месяца назад +1

    My brother sloved the problem and like othar maths problem.😊😊😊😊😊❤❤❤❤❤🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉🎉

  • @stefan8405
    @stefan8405 8 месяцев назад +1

    This is first year of secondary school in Italy. You don't even enter the pub if you can't factor this simple polynomial.

    • @Tkcb2799
      @Tkcb2799 8 месяцев назад +1

      why is there always some annoying kids flexing in the comments of these video. well done, you can solve a maths problem for high school students from the mid 19th century, so can everyone else.

    • @stefan8405
      @stefan8405 8 месяцев назад

      @@Tkcb2799 you can't solve it

    • @stefan8405
      @stefan8405 8 месяцев назад

      @@Tkcb2799 but you are certainly good at copy and paste.

  • @DakshManchanda
    @DakshManchanda Год назад +52

    Asian kids doing this in half sleep….

    • @makchot3263
      @makchot3263 11 месяцев назад +10

      Asian kids living in slums

    • @jjj-11
      @jjj-11 8 месяцев назад +1

      Asian kids thinking their so good at math but miss the number 1869:

  • @gooeysundew
    @gooeysundew 9 месяцев назад +4

    Can’t you just cross out numerator vs denominator from the start?

  • @aanifshabir1554
    @aanifshabir1554 Год назад +23

    Try jee advanced questions

    • @s1nefx
      @s1nefx Год назад +22

      This was 1869 bruh💀💀

    • @gamingwithlegends7006
      @gamingwithlegends7006 Год назад

      ​@@s1nefx🌚

    • @ironmatic1
      @ironmatic1 8 месяцев назад

      Indians crying in these comments

    • @muhtasimfuad1945
      @muhtasimfuad1945 5 месяцев назад

      why would he do that? you go to mit if iit is too hard for you lmao , with this much iq you are getting into neither .

  • @crafty_spot_me
    @crafty_spot_me 2 месяца назад +2

    Only if it was this easier 😢

  • @PCully03
    @PCully03 3 месяца назад +1

    Is everyone gonna ignore that the square root of a^4y^2 isn't a^2y

  • @saylor0955
    @saylor0955 11 месяцев назад +7

    That’s definitely the hard way lol

    • @Aefax
      @Aefax 8 месяцев назад

      yeah wtf if i tried to do it the way he did it i would get it wrong. no idea why he made it 1000x harder on himself

    • @prestonak
      @prestonak 6 месяцев назад

      @@AefaxThey just factored it then simplified. It is important to factor the numerator and denominator to eliminate like terms and that’s what they did.
      I didn’t recognize the difference of squares though 😬

  • @Lyric_Metamorphosi
    @Lyric_Metamorphosi 7 месяцев назад +6

    Oh Broo.. check the JEE Advance maths questions💀

    • @qwjk1
      @qwjk1 6 месяцев назад +3

      this is from 1869 no shit this is gonna be easy

    • @loledit4456
      @loledit4456 5 месяцев назад

      Obviously it's those cocky Indian teens flexing their maths skills when most of them are gonna end up unemployed

    • @muhtasimfuad1945
      @muhtasimfuad1945 5 месяцев назад

      JEE Advance guy who studies 18 hr a day , bhai tune mauj kardi , ja aab MIT, bethe h tere liye wait kr rhe hein .

  • @mayanksequation5232
    @mayanksequation5232 11 месяцев назад +4

    I was teaching this to a Std 9th student last week. She is 13 years old. 🥴

  • @Itskirtiworld
    @Itskirtiworld Месяц назад +1

    👉🏻This is too easy
    X⁶ cancelled out with x⁶
    Then, a² divided with a⁴ gives a² in denominator
    After that , y² divided with y gives y
    Ans: x³/a²-y👈🏻
    Tooo easy try easy method 👋

  • @blazingdragon9607
    @blazingdragon9607 7 месяцев назад

    Back in 1869, this question was considered hard bcoz ppl hardly had any guidance and internet didn't exist

  • @lastdayeventschrist9445
    @lastdayeventschrist9445 7 месяцев назад +4

    Ha ha.... I solved this one in 3 minutes without using pen.. am calculated in my mind only... 👍

    • @Zevvin768
      @Zevvin768 7 месяцев назад +2

      Well done mate do you want a fucking medal

  • @user-df2uu3qp3y
    @user-df2uu3qp3y Год назад +9

    *a fetus asian can solve this.*

  • @Sku11zDude
    @Sku11zDude 9 месяцев назад +3

    As an indian highschooler this is literally "lightwork no reaction"

  • @thivaagaranrajendran7996
    @thivaagaranrajendran7996 2 месяца назад

    Solving this back then in 1869 would land you in trouble.You will called a witch.

  • @rajagupta5746
    @rajagupta5746 4 месяца назад

    After watching the full video .. I can say … WoooooWww…🤯

  • @kunalfire1084
    @kunalfire1084 7 месяцев назад +3

    MIT ENTRANCE 🤡
    JEE MAIN ☠️
    JEE ADVANCED👽

    • @Keiekehdhdh3737
      @Keiekehdhdh3737 5 месяцев назад +5

      Mit in 1869 🗿🗿
      Jee In 1869 does not exist..🤡
      Mit now 🗿🥶🎇
      Jee now 🗿🗿

    • @dundundun2383
      @dundundun2383 4 месяца назад

      You know getting into MIT is crazy hard now lol shows that you are the real clown

    • @Cherrii10
      @Cherrii10 3 месяца назад

      Yet u prob failed all

  • @yuktisoni5968
    @yuktisoni5968 7 месяцев назад +6

    Jee advanced question laughing in the corner 💀

    • @MAOZEDONGTherealcommunist
      @MAOZEDONGTherealcommunist 6 месяцев назад +2

      Your country wasn't even born in 1869

    • @yuktisoni5968
      @yuktisoni5968 5 месяцев назад

      @@MAOZEDONGTherealcommunist god how dumb you are!😂😂

    • @gw_pavitra2331
      @gw_pavitra2331 5 месяцев назад

      @@MAOZEDONGTherealcommunistit was since before your country was found kiddo so shut yo fkn mouth up🤡🖕🖕

  • @ayushmansingh5302
    @ayushmansingh5302 7 месяцев назад +2

    Provided x³+ay should not be equal to zero..

  • @GeneralDante108
    @GeneralDante108 7 месяцев назад +2

    Thas one line of the solution to a 3 page indian entrance exam question :)

  • @julyort6762
    @julyort6762 7 месяцев назад

    I thought it was more difficult, but maybe now it is harder

  • @lawrencelawsen6824
    @lawrencelawsen6824 Месяц назад

    I love this channel