Algebra 2 - Completing the Square

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  • Опубликовано: 18 дек 2024

Комментарии • 279

  • @Squeakys
    @Squeakys 4 года назад +137

    I'm jealous for the students, they have no idea how lucky they are to have a teacher like you.

    • @johnshin8056
      @johnshin8056 4 года назад +3

      exactly :.,(

    • @thefriendlydeadguy154
      @thefriendlydeadguy154 4 года назад +5

      if i were a teacher i would be jealous of HIM, the students act so well

    • @Hertog_von_Berkshire
      @Hertog_von_Berkshire 3 года назад +2

      "jealous for"? Makes no sense whatsoever.
      Maybe you mean "envious of".
      Maybe there's a RUclips English teacher out there who is as good as this maths teacher.
      Raise your game.

    • @andeees
      @andeees 2 года назад +3

      @@Hertog_von_Berkshire not everyone is British or American

  • @felixvargas9131
    @felixvargas9131 8 лет назад +103

    you are better at teaching than any other teacher i have ever had thanks

  • @joanny3280
    @joanny3280 7 лет назад +255

    When you have a test tomorrow and you just gotta spend the day watching 1048383737 videos on how tf you actually do math

    • @itsyaboinoel668
      @itsyaboinoel668 7 лет назад +5

      Thats me right now

    • @Kilbo78
      @Kilbo78 6 лет назад +2

      me too

    • @邱宇豪-o9u
      @邱宇豪-o9u 6 лет назад +1

      I have a test tmr

    • @countotuscany7061
      @countotuscany7061 6 лет назад +1

      LITERALLY ME rn

    • @MathNerd1729
      @MathNerd1729 6 лет назад +4

      Joey Very funny exaggeration. That is actually impossible, though. There are only 60 x 60 x 24 = 86400 seconds in a day. So you would be too late to do your test by the time you watched all those videos. LOLOLOLOL

  • @dnarna8994
    @dnarna8994 2 месяца назад +2

    Great teacher!! Kudos! Keep up the excellent work!!

    • @yaymath
      @yaymath  2 месяца назад

      You're so kind. Thank you for recognizing the value of connecting to the students through the math lesson.

    • @KatLaughlin-pq9yr
      @KatLaughlin-pq9yr Месяц назад +1

      ​@@yaymath x
      You did so much for my homework
      I had 7(2x−4)
      Use the distributive property to multiply 7 by 2x−4.
      14x−28

  • @smileyvssadgirl
    @smileyvssadgirl 7 лет назад +51

    I just love the way you teach. You make it so easy to learn.

  • @Amani_Rose
    @Amani_Rose 8 лет назад +23

    Thank you
    You saved me for my Mocks
    I'll hopefully see you again when I'm revising for my actual GCSE's

  • @jscubes9714
    @jscubes9714 6 лет назад +20

    I watched this video, then the next day I was like the smartest kid in class

  • @eddie1105
    @eddie1105 3 года назад +1

    I enjoy yay math you're the only lecturer I understand math from with no questions in my head.....Keep up the good work.

  • @mistyssingingvlogbielebera3734
    @mistyssingingvlogbielebera3734 5 лет назад +6

    Best ever teacher I've ever met ...on RUclips ... thank you so much sir

  • @kazifaiad4174
    @kazifaiad4174 7 лет назад +6

    I really want a teacher like u!!!

  • @pahankodikara5488
    @pahankodikara5488 Год назад

    im so thankful for stumbling across this video. ive been struggling to learn this method even after being taught in school and referring to some videos on yt. u just made it look so simple, thanks a lot!!!

  • @lateshiachilds3640
    @lateshiachilds3640 6 лет назад +1

    Hes a good teacher, im 35 and taking classes i havent been in school in a while, this video is helping me better than the teacher i have now.

  • @Rdms7
    @Rdms7 7 лет назад +33

    Man wtf I’m actually watching this on a Tuesday night mind=blown (5:35)

  • @rozanxoxo4016
    @rozanxoxo4016 5 лет назад +12

    I was actually watching this on a Tuesday night 2! 😂💀

  • @garymckinley6974
    @garymckinley6974 4 года назад +4

    I wish I had you in the early 60s teaching my algebra classes. I may have actually succeeded in college.

  • @CaseyMarkov
    @CaseyMarkov 3 года назад

    did i hear some kid asking about Wawa at 14:25? liking just for that. also, would it be the same as fractions if you Used I and/or decimals. also, how did you get 1/4 from 1/16

  • @tuesdeewilliams6683
    @tuesdeewilliams6683 8 лет назад +2

    I Love You the most. Your videos are amazing. I've been watching you for weeks getting ready to take my state exam to teach secondary Math in Texas and you've been the biggest help out of all the resources I've used. My exam is in 24 hours and I'm ready. THANK YOU, if you'v never heard it; i'm sure you have. But thank you so much and do keep doing the videos, I love them and you inspire me.

  • @oluseyeodujole4279
    @oluseyeodujole4279 3 года назад

    Undoubtedly, Mr Ardut is one of the best math teachers alive.

  • @mattthatratt
    @mattthatratt 4 года назад

    I'm watching this because my teacher completely skipped this part of the unit!! No joke, I thought I just forgot because it was one of our first units but no she completely skipped it!! Like darn, no wonder I had no idea what it was talking about on the midterm. I don't have to take finals anymore because of the mess going on right now but my friend needs help for online classes and honestly, you made this really easy to understand. Thank you!!

  • @UOTQAUIBO
    @UOTQAUIBO 5 лет назад

    You are honestly one of the best teachers out there, nobody else has come close to making me understand math. Thanks for making these!!
    Oh and uh.....
    11:33
    Whataburger is better ;)

  • @harivonwintr
    @harivonwintr 8 лет назад +8

    On the last equation, how do you know when it's possible to factor and when not. Because the way I learned was that you had to get a number that could be multiplied into C and also be added together to make B. How does 3+1 = 5x?? If I had something like 2x2 -16x + 3 would the same rule apply?

    • @호호할머니-v2i
      @호호할머니-v2i 6 лет назад

      I know righhhhtt

    • @kat930
      @kat930 6 лет назад

      It would be the same bc wouldn’t x just replace b?

    • @majorenkova
      @majorenkova 6 лет назад

      Yeah. 3 +1 =5? Wtf???

    • @timonofathens8645
      @timonofathens8645 6 лет назад +4

      He skips some steps.
      2x2-5x+3=0
      a b c
      STEP 1
      ac=2*3=6
      Factors of ac: (1,6) (-1,-6)
      (2,3) (-2,-3)
      The pair of factors which added together equals -5 is (-2,-3)
      STEP 2
      You plug those two numbers into the equation replacing b ,in this case, -5.
      The equation becomes:
      2x2 -2x-3x +3 = 0
      STEP 3
      Here comes the factorization!!
      Split the equation in half, factorizing the first and second half separately.
      2x2-2x -3x+3= 0
      2x(x-1) -3(x-1) = 0
      STEP 4
      This next step will bring you to where he starts ;)
      (2x-3) (x-1) = 0
      Hope this helps!
      Peace. God bless you.

    • @MjaySenoj
      @MjaySenoj 5 лет назад

      trial and error

  • @mahussein6281
    @mahussein6281 2 года назад

    Thank you. You are brilliant in maths.

  • @r.nshukla5539
    @r.nshukla5539 3 года назад

    Excellent teaching . Thanks a lot to you sir !

  • @LedBeatle-vz4ui
    @LedBeatle-vz4ui 7 лет назад +1

    Thanks. I know how to do it now. I just finished my homework because of you.

  • @mattw7796
    @mattw7796 8 лет назад +5

    Congrats on 100k!

  • @KatLaughlin-pq9yr
    @KatLaughlin-pq9yr Месяц назад +1

    I watch is on a Friday too

  • @elyseesvonne9487
    @elyseesvonne9487 8 лет назад +5

    i love you... i love you.. so much... thank you... never stop.. you're not allowed.

  • @Fang727
    @Fang727 4 года назад +2

    You helped me a lot I love you :]
    I just realized it is a Tuesday night for me :O

  • @burkujoogy
    @burkujoogy 6 лет назад +1

    16:23 Where did you get the half, you multiplied -5x/2 to 1/2 ?

    • @indeeditiscirro
      @indeeditiscirro 5 лет назад +1

      because he's halving -5x/2 to fill the bracket.
      halving is the same is multiplying by 1/2

  • @Natasharaina_
    @Natasharaina_ 3 года назад

    Love from INDIA❤️ BEST MATH TEACHER, following since years

  • @saulee9459
    @saulee9459 8 лет назад +1

    Hi I am Arabic man I study in (KSU). you helped me so much .thank you man ♡

  • @saulee9459
    @saulee9459 8 лет назад +5

    مرحبا
    انا طالب في KSU لقد ساعدني هذا الفديو كثيرا لحل واجب الرياضيات و اتمنى ان احصل على درجة الواجب كامله . اردت ان اشكرك فقط و اشجعك لتكمل الشروحات . اتمنى لك يوما طيبا

  • @justbry7334
    @justbry7334 7 лет назад +12

    What is the I for I'm trying to get ahead

    • @PeyGuapo
      @PeyGuapo 7 лет назад +2

      BryBoo smith square root of -1

    • @justbry7334
      @justbry7334 7 лет назад +1

      Bigtwerkk i thought you couldnt take the square root of a negative number

    • @Ejazzz
      @Ejazzz 7 лет назад +4

      the i = -1 so you can take out the - in the square root making it positive so you can square root

    • @justbry7334
      @justbry7334 7 лет назад +1

      Meghan oh okay thank you

  • @lucynsh.7302
    @lucynsh.7302 7 лет назад

    I also want to have amazing learners like yours next year during my SBS in my class. ..Your students participates and that is good..

  • @jessica-rb7yr
    @jessica-rb7yr 6 лет назад +2

    Thanku for saving my life u made it fun n easy for me 🔥

  • @beverlyfrancis8433
    @beverlyfrancis8433 5 лет назад

    I want to purchase one of your books

  • @gohanwanabe
    @gohanwanabe 8 лет назад

    Great videos and love them so much

  • @krisg5078
    @krisg5078 8 лет назад

    you are an awesome teacher!

  • @lock2342
    @lock2342 3 года назад

    16:13 -5/2 over two

  • @tb2748
    @tb2748 6 лет назад +11

    7:21 - actually thought it was fast forwarded at first lmao

  • @paycoramalho6145
    @paycoramalho6145 3 года назад

    I like the way you teach

  • @janetyu418
    @janetyu418 3 года назад

    My My daughter is 10,she told me she Understand your class ,that so good.

  • @SamirSelim
    @SamirSelim 5 лет назад

    Good teacher

  • @zincman1995
    @zincman1995 4 года назад +1

    Sir: Could you share an example where one would use 'Completing the Square' in everyday situations, (student here, not an expert). Thanks

  • @sharonmori4833
    @sharonmori4833 5 лет назад

    Thanks am now so ready for my exam today this helped me so much

  • @jasoncintron1931
    @jasoncintron1931 6 лет назад +2

    You saved me with the problem at 15:00 . Thanks! I just wasn't getting it, but you broke it down nicely.

  • @michellejames8606
    @michellejames8606 4 года назад

    this lesson was awesome

  • @renzyydelacruzz6752
    @renzyydelacruzz6752 4 года назад +1

    17:58 where did the 8 come from?

    • @idontkno2155
      @idontkno2155 2 года назад

      no seriously i have been trying to understand that for the longest

  • @ennnaaa7584
    @ennnaaa7584 4 года назад

    The best teacher ✊

  • @clintonandrews1538
    @clintonandrews1538 4 года назад

    Good explainer! I've watched other videos teach 'completing the square' without explaining the (b/2)², or the (b/2) shortcut, making them mathemagicians not teachers. Thanks for the video!
    In grad school econometrics, the prof put a three-board problem on the white board. One of the top math students said "I see where you began, and I see where the answer is, but how did you get from the beginning to the answer? The prof replied "Do you really want to know??" I almost blurted out 'No. It was an effin' rhetorical question!'

  • @mifeke6149
    @mifeke6149 3 года назад

    At 22:50 a student asks, "why do we need to complete the square?" This should have been addressed from the beginning and they would know the reason including the rule of "b" having to be divided by 2.

  • @saraharora89
    @saraharora89 5 лет назад

    Woah! I am watching on a Tuesday night! 😮

  • @uniquemind1935
    @uniquemind1935 4 года назад

    Very good teacher

  • @RehannahB
    @RehannahB 7 лет назад +6

    5:37 How did you know it was Tuesday? Lol

  • @jiayn8069
    @jiayn8069 7 лет назад

    Thank you so much for this you made me understand this so much clearer👍👍

  • @FilipinoStraightUp
    @FilipinoStraightUp 8 лет назад

    Thank you for this upload

  • @benlee5039
    @benlee5039 5 лет назад

    why did u put i in 2i root 2 at 11:11?

  • @augustayarteh7524
    @augustayarteh7524 4 года назад

    You can factor it and solve for the x ya is true Move The positive one to the other side of the equation. Your b is 6. The half of that number is 3 lovely explanation.

  • @TheLittleThingsAroundUs
    @TheLittleThingsAroundUs 6 лет назад

    I like how my teacher has taken a week or two to teach us this, I dont understand, but now that I watched two videos from this guy, I can do this so easily as if I were taking candy from a baby. (Which I don't do) ALSO I really did think that y'all have been fast forwarding the whole time....

  • @murraycameron4207
    @murraycameron4207 3 года назад

    When I teach completing the square I start with coefficients only. For instance 1+4-5=0 which can be changed to1+4=5. Now take half of 4 and square it to get 1+4+4 = 5 so you have to add 4 to the right side because you did so on the left which becomes 9=9 since 9 is 3 times three so the formula becomes (x-3)squared -9 =0.

  • @ashleyheberer2781
    @ashleyheberer2781 7 лет назад

    I absolutely love the way you teach, just hard to learn because your in a classroom (with teenagers lol)! I wish you did videos alone!!!!!

  • @leighshalee1169
    @leighshalee1169 7 лет назад +2

    this was helpful

  • @jaygarrick1061
    @jaygarrick1061 8 лет назад

    Hey yay math guy. I was watching a video you did on permutations (the doctor one)... Im having an issue with a question. Im struggling to understand the principles behind it.... any chance I can drop the question and maybe you can include it as one of your examples in your videos. Thanks for the vids man

  • @israelmanu3998
    @israelmanu3998 4 года назад

    Ooooh I wish you were my teacher at school you're Awesome

  • @vernelisonruthbelacho8087
    @vernelisonruthbelacho8087 4 года назад

    Eyyo, it's also Friday! Btw our school is about to start S.Y.2020-2021 on Monday so, guess advance study in no time hahaha and thanks for your great teaching skills👌

  • @ajwaakwamena7419
    @ajwaakwamena7419 4 года назад

    Wow that amazing

  • @brandonharper5131
    @brandonharper5131 3 года назад

    you literally saved me, im a freshman in algebra 2 so its rly advanced for me and i was about to fail a test (if i fail a test i get dropped down to geometry)

  • @elyjahnoble1566
    @elyjahnoble1566 5 лет назад +7

    thank you, my teacher stinks at teaching me. this was very helpful.

    • @hello123s
      @hello123s 2 года назад

      So do u at being a student

  • @khalidomar4764
    @khalidomar4764 2 года назад

    watching in 2022. worth watching!!!!

  • @alecgurdon5197
    @alecgurdon5197 3 года назад

    21:51 - I’m so confused. How does -3 + -1 = -5

  • @abokwu
    @abokwu 2 года назад

    2i ? I don't understand the i ( what part of Maryland?).

  • @kzeich
    @kzeich 5 лет назад

    What part of Maryland are you from?

  • @catcus10
    @catcus10 5 лет назад

    Tuesday morning!! Whoooo!!

  • @mannynoneya7143
    @mannynoneya7143 5 лет назад

    LIFE SAVER

  • @benvoneschen6098
    @benvoneschen6098 4 года назад

    I watched this on a Tuesday night.

  • @salamander9763
    @salamander9763 8 лет назад

    by getting the half of -8 which is-4^2 that's how 16 appears in the expression. Now what is the i in the sq root infinity

    • @fotnite_
      @fotnite_ 8 лет назад +1

      "i" is a constant equal to the square root of -1. It's used as a suffix for imaginary numbers (negative numbers that have been square rooted)

  • @donnafoster1632
    @donnafoster1632 5 лет назад

    Where did the 2i come from? Don't understand.

  • @kdaniel8721
    @kdaniel8721 Год назад

    It's Friday night, and I am trying to learn this method, in order to tutor my Grade 12 grandson.

  • @justinsimon154
    @justinsimon154 8 лет назад +24

    I was watching on a Tuesday night!😂lmao

  • @huggybear6093
    @huggybear6093 5 лет назад

    this guy is awesome --- THUMBS UP to u bro

  • @caylapascale959
    @caylapascale959 4 года назад

    Why is the i there (11:17)

  • @issayasin4118
    @issayasin4118 8 лет назад +2

    hallo where cani find the best pdf for precalculus???

    • @politismos3929
      @politismos3929 7 лет назад

      search "zeagers precalculus" on Google.

  • @carmiebenz8771
    @carmiebenz8771 5 лет назад

    Thank you your great.

  • @stephenugochukwu9472
    @stephenugochukwu9472 3 года назад

    If this guy was my Math teacher, I would have been a genius in Math

  • @markosc3230
    @markosc3230 6 лет назад +3

    Damn on a Tuesday night. I'm here doing my hw at 7:17 on a Tuesday fml😭

  • @ericpabon2458
    @ericpabon2458 7 лет назад +3

    i hate numbers, so annoying, but i MUST learn this arghh

  • @ahmedal-kanan721
    @ahmedal-kanan721 8 лет назад

    great teacher ,thanks 😘😚

  • @hajirkhalid4441
    @hajirkhalid4441 8 лет назад +1

    Hi I want to ask you about something
    What is answer of i¹8 ?

    • @hajirkhalid4441
      @hajirkhalid4441 8 лет назад

      I know this video isn't about the complex numbers but I need to know the answer

    • @ayanleInstitute
      @ayanleInstitute 8 лет назад +1

      Are you asking i*8? or Square Root 8i?

    • @hajirkhalid4441
      @hajirkhalid4441 8 лет назад +1

      Don't worry I've known the answer

    • @ayanleInstitute
      @ayanleInstitute 8 лет назад

      If you need Algebra 1 and 2 help website, go to www.openalgebra.com (it is free)

  • @avnish_mitra
    @avnish_mitra 4 года назад

    most fast and easy method:-
    Eg- last question:
    2x²-5x+3=0
    Step 1 a*c=6
    Step 2 l.c.m of a*c = 2,3
    Fra:
    2x²-2x-3x+3=0
    2x(x-1)-3(x-1)
    (x-1)(2x-3)
    So
    Ans: 1,3/2

  • @74mie
    @74mie 11 месяцев назад +1

    I am watching this vid on a tuesday

  • @الاستاذيونسالشويلي

    شكرا جزيلا

  • @AbuBakarrFSesay
    @AbuBakarrFSesay 6 лет назад

    i was art student in st Edward secondary school sierra Leone west African . i love math in class
    how to perfect please help me

  • @mrman2293
    @mrman2293 4 года назад

    You're a good man, thank you.
    MEME INCLUDED

  • @abednoori1346
    @abednoori1346 5 лет назад

    Where did u get (2×-3) and (2×-1)

  • @oscarcruces9202
    @oscarcruces9202 7 лет назад

    partial fraction decomposition

  • @tomg271
    @tomg271 7 лет назад

    I am actually watching on a Tuesday night :p

  • @shizalatif4406
    @shizalatif4406 8 лет назад

    Im in 8th Grade and in school we do Algebra 1 and we did this and I understand it more thx!

  • @michaelchin3368
    @michaelchin3368 8 лет назад

    how do you work the fractions

  • @xianflora8411
    @xianflora8411 4 года назад

    Thank u teacher and thank u RUclips

  • @pamkay9240
    @pamkay9240 5 лет назад

    Watching it years later and it is a Tuesday night. Sucks to be me, lol