Solving Rational Equations

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  • Опубликовано: 15 сен 2024
  • Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !!
    Solving Rational Equations! 3 examples are shown. For more free math videos, visit PatrickJMT.com !

Комментарии • 321

  • @victoriahchang3326
    @victoriahchang3326 10 лет назад

    I am not very good at math and need slow step by step to follow. Your videos are great at helping me understand! Thanks!

  • @rosiemartin3647
    @rosiemartin3647 8 лет назад +24

    I have a few questions about your math.

  • @MrOzzz-fn3eb
    @MrOzzz-fn3eb 8 лет назад

    Thank you so so much!!!! Math isn't my strongest subject but your videos have helped me clear out so many things my own teacher didn't even come across.

  • @riann216
    @riann216 15 лет назад

    Thank you so much! I don't understand why all teachers can't be so clear when they teach! I wish I lived closer to you, you'd be worth every penny.

  • @FaithSnyder16
    @FaithSnyder16 11 лет назад

    I am so thankful for you doing this... You have NO idea how much this has helped me. I've been sick a lot at school and my teacher's one of those here's the notes do the work and never explains anything so this just made the lightbulb pop on. So just letting you know that I will be watching MANY of your videos! Thank you thank you thank you so much!!!!!

  • @tomdominic4829
    @tomdominic4829 6 лет назад

    6:47, if you wanted too, you could simplify +6 +- square root of 52 / 2 as +3 +- square root of 13 by rationalizing root 52 as 2*2*13, taking the two out of the root, and then dividing all terms by 2.

  • @Megafletty
    @Megafletty 13 лет назад

    Sweet Video man. I have a math quiz every friday and i go to youtube and look up videos. So far, you are my favorite pick.

  • @patrickjmt
    @patrickjmt  14 лет назад

    @rmadrigalb i am pretty sure i am taking advantage and also sharing it with others

  • @hotonah
    @hotonah 11 лет назад +2

    I love how you explain this, you're way better then my college instructor.

  • @MadisonNoelleBlack
    @MadisonNoelleBlack 14 лет назад

    Whenever I have a problem with my regular math I look up your videos. You have saved me on more than one occassion. Thank you and please keep making videos :)

  • @latinachica199
    @latinachica199 15 лет назад

    thank u sooo much! i was trying to do my hmwrk and i got stuck on these problems! i had a test coming up and over-reacted and got worried! but then i realized that i was missing a step! thank u sooo much! ur a life saver! i dont know wat i would do without u!!!!!! :D

  • @patrickjmt
    @patrickjmt  14 лет назад

    @MadisonNoelleBlack thanks for the words of encouragement. i will keep doing what i can.

  • @Mouna_beee
    @Mouna_beee 14 лет назад +1

    I WISH YOU WERE MY MATH TEACHER! THANK YOU SO MUCH! very very clear and makes you want to understand. THANKS AGAIN! keep them coming!

  • @Rozonkomo
    @Rozonkomo 14 лет назад

    Your services to the internet community of "people who need math help" is much appreciated!

  • @shafeekafadlikhzamri7068
    @shafeekafadlikhzamri7068 10 лет назад +8

    love ur vids! can u do some more hard questions?

  • @hotnov
    @hotnov 14 лет назад +1

    Thank you so much! You helped me, I have been pretty much failing my math class since school started. Math is my weakest subject. I don't understand how I get 99's in Science, 100's in English but 30's in Math. Your videos helped me so much, I think I will pass this test on Monday. Thanks again!

  • @Sorcery10
    @Sorcery10 15 лет назад

    The most important things you must know for general chemistry are scientific notation, graphing, and unit conversions. I'm not sure how far your class will get but if you want to major in chemistry, you must get very familiar with your calculator. In more advanced chemistry courses you will need to know about logs, natural logs, inverses, the quadratic formula, and statistics. Just remember chemistry is really easy in the begginning, however, if you don't pay attention you will get lost later on

  • @patrickjmt
    @patrickjmt  12 лет назад +1

    @TheKingmoab i used to live there, probably will not go back :)

  • @patrickjmt
    @patrickjmt  14 лет назад

    @hotnov no problem! good luck on the test!!

  • @Darterri
    @Darterri 14 лет назад

    this is a life saver. I feel like we were talking different languages in my math class and I love math. therefore I was fustrated but you know what I love again, yeah!!!

  • @patrickjmt
    @patrickjmt  12 лет назад

    @GearZNet happy i could help : ) good luck in your studies!

  • @patrickjmt
    @patrickjmt  14 лет назад

    @bigd2cc no problem

  • @immasparton
    @immasparton 12 лет назад

    i have a test tomarrow about this stuff and it makes more sence to me now thank you.

  • @patrickjmt
    @patrickjmt  16 лет назад

    no problem! glad it helped!!

  • @claypletz4941
    @claypletz4941 7 лет назад +1

    you are a saveuar stayed up till 12 doing homework and couldn't figure out this question but after watching this I was quickly refreshed

  • @borntoperform733
    @borntoperform733 11 лет назад

    Thank you SO much, I was trying to study for my test tomorrow, but I didn't get it. After watching this, I finally understand! Thanks!

  • @missaw96
    @missaw96 12 лет назад

    Since the 3's are opposite in sign and like terms (no variable [letter] just a number), they cancel. All that is left is x+x. They are like terms (both variables and same exponents) so we can add them together, hence 2x. Good day! :)

  • @MikeEllis1995
    @MikeEllis1995 12 лет назад

    I have a test tomorrow and this cleared up every question I had about this.

  • @matthewspory2819
    @matthewspory2819 9 лет назад

    This video helped sooooooooo much. My math teacher sucks at explaining this stuff. Thanks again

  • @patrickjmt
    @patrickjmt  14 лет назад

    @BronzyPink1092 glad you like the vids : )

  • @BlackshirtsofNEB08
    @BlackshirtsofNEB08 15 лет назад

    Thanks for making these useful Math videos. You teach this stuff better than my college Algebra teacher.

  • @fabihdezbertel
    @fabihdezbertel 11 лет назад +1

    HEYY! I REALLY LIKE YOUR VIDEOS THEY ARE CLEAR- kinda kinda fast but ok
    i have a question! how do i know when there are NO SOLUTIONS, depending in the result, in this case in the final result was ''3'' but i couldnt understand why is NO A SOLUTION. thanks

  • @LindsayG18
    @LindsayG18 11 лет назад

    I really appreciate you taking your time to do these videos. They are very helpful and glad they are free. :)

  • @spartan387
    @spartan387 15 лет назад

    thank you so much fer your vids i have raised my grade in preap precalculus from a 73 to a 91 i am so proud of my progress through your examples and applying the principles and methods from your videos to my teacher's tests... which are seemingly conjured from black magic lol

  • @betina55
    @betina55 15 лет назад

    Thank you, Thank you, Thank you sooo much for posting these vids! You are an angel!!!

  • @Mewgirl64
    @Mewgirl64 12 лет назад

    It wasn't the exact problem I was looking for, but it helped to clear up a lot! Thanks!

  • @patrickjmt
    @patrickjmt  13 лет назад

    @Itsmyfaceonthescreen i am not sure. too many videos to remember

  • @dethklok111
    @dethklok111 16 лет назад

    OMG u r a life saver!!!i finally understand ....thank you so much
    now i'll take a bong hit for algebra 2 and for your help..thnx

  • @Bibbitybridge
    @Bibbitybridge 12 лет назад

    Oh my god, I finally get this now. Once my teacher teaches a new lesson, I'll just look for one of your videos and you can be my actual teacher. :)

  • @romeob.4486
    @romeob.4486 7 лет назад

    just watched the video,//i learn a lot from this video... it really helps me out for my homework..thanks!

  • @shiromandeenanton7853
    @shiromandeenanton7853 5 лет назад +1

    for the second equation, you can factor further to 3+square root 13 and 3- square root 13

  • @DrCumulus
    @DrCumulus 11 лет назад

    Gilbert, to answer your question. x - 3 + x + 3 = 2x goes like this.
    x + x gives you 2x because the x's are like terms. So you combine your like terms.
    -3 + 3 = 0. To make that easier for you to understand, maybe re arrange the two to make it easier. Example is +3 - 3 = 0.
    Try this example.
    x-5 + x+5=?
    If you need more help, myself or Patrick here will be glad to help.

  • @patrickjmt
    @patrickjmt  13 лет назад

    @ZGJDJD i have a video on evaluating numbers with fractional exponents

  • @johndude04
    @johndude04 12 лет назад

    Great Video was struggling with 5 problems after watching you do the first one I did them all in about 6 minents thanks man great video!

  • @Doris-wi6vx
    @Doris-wi6vx 9 лет назад

    Thank you! This was really helpful. I liked how you used two different colours.

  • @Lisasingsalot
    @Lisasingsalot 16 лет назад

    I only watch your videos. they help me a lot.THANKS BRO!!!

  • @patrickjmt
    @patrickjmt  13 лет назад

    @guitarsession100 probably not

  • @GearZNet
    @GearZNet 12 лет назад

    I a not attempting to brag or anything of the sort... however I must pay you with the highest of respects Mr.Patrick. I am a 13 year old who is taking the time of his christmass break to learn everything from Pre-algebra to Trigonometry in order to take the ACT and move on with my life. I am extremely close. Thank you

  • @akirax3222
    @akirax3222 11 лет назад +1

    thank yo so much for making this video you really helped me out man
    Keep up the good work

  • @NehiMusic1
    @NehiMusic1 12 лет назад

    Brother man, you just saved my life. I cannot thank you enough.

  • @SarahClaire43096
    @SarahClaire43096 12 лет назад

    You teach me the things my math teacher doesn't. Thank you SO SO MUCH! ♥

  • @patrickjmt
    @patrickjmt  14 лет назад

    @jasonhan8733 if i did not like austin so much, i might think of moving to toronto

  • @kennethm1818
    @kennethm1818 11 лет назад

    This may be confusing to some, your instant reaction may be to cancel out the x-3 and x+3 to 0, and that can't equal 2x because it's a contradiction. However, the first term, x-3, does not have a -x. So, x-3 + x+3 is equal to 2x, because only the 3s cancel out, not the x's. Hope that answers your question.

  • @AXiSxToXiC
    @AXiSxToXiC 12 лет назад

    Im doing like a marathon of these videos to study for my Alg. 2 final tomorrow :P

  • @mundayeva
    @mundayeva 12 лет назад

    how would you solve: The height in feet of a water rocket that is launched can be modeled by the function f(t)=-16t sqaured+ 64t, where t is the time in seconds after it is launched. Find the rockets maximum?

  • @JasonChamberlain
    @JasonChamberlain 16 лет назад

    at 5:48 i thought you were going to write on the table :)) very good job man thanks

  • @leehelfrich9281
    @leehelfrich9281 11 лет назад

    even though you commented 3 months ago, I can answer your question.
    @ 8:11 x-3 + x+3 = 6. The x's added together are 2x. The -3 and the +3 cancel each other out. You are then left with 2x = 6.

  • @xEpiclyrikSx
    @xEpiclyrikSx 12 лет назад

    again, as i say for every video of yours.. I LOVE YOU.

  • @SterreAcerbo
    @SterreAcerbo 13 лет назад

    If I graduate next Friday, its all thanks to you. I've been struggling with math my entire life!

  • @spenceranderson7797
    @spenceranderson7797 10 лет назад +7

    i wish you were my teacher instead of who i had now :D

  • @rexmuddissocool
    @rexmuddissocool 15 лет назад

    i think an explanation of more complex equations would add a lot to this video. take it a step further with an equation like,
    y-15 2y
    ____ = __
    15 5

  • @SkepticShaman13
    @SkepticShaman13 11 лет назад +1

    @patrickJMT why does x squared multiplied by negative 5 over x = negative 5x

  • @heanlygaming5408
    @heanlygaming5408 8 лет назад

    I was solving with you on the 2nd problem but my final answer has different signs. The difference was you made the LEFT side equal to 0 while I made the right side equal to 0 which made my answer like this -x²+6x+4=0
    which made my values a= -1 b=6 c=4
    the final answer i have is = -6±√52
    -2
    Is it incorrect?

  • @patrickjmt
    @patrickjmt  14 лет назад

    @casper09021992 i can only turn water into beer though

  • @bibbs101
    @bibbs101 15 лет назад

    Thank you so much Sir, this is very Good!!!and thorough...Tops!!! Much love ...hope to see you in the future....older student returning to college!! may God Bless you. Atl Ga

  • @March90skid
    @March90skid 5 лет назад

    Your videos are all very helpful. Thank you!

    • @Devoouh
      @Devoouh 5 лет назад

      ms rashkovan?

  • @LAsoccerboy16
    @LAsoccerboy16 12 лет назад

    You helped me more than my teacher does.

  • @Lisasingsalot
    @Lisasingsalot 16 лет назад

    im going to tell them how much of a great help you are.

  • @gracebliss819
    @gracebliss819 6 лет назад

    Your examples always has the number 1

  • @ma.sophiabiancaguerra6917
    @ma.sophiabiancaguerra6917 9 лет назад

    Thank you for the video! :) Can you make another one? Problem solving about rational equations? Thanks :D

  • @topgunnmom1
    @topgunnmom1 9 лет назад

    Thanks for your videos. You do a good job. I think you can reduce your final answer on the second problem to 3 + or - the square root of 13. (Sorry, don't know how I could type that any other way here.) Is there a reason you chose not to reduce?

  • @321verykind
    @321verykind 10 лет назад

    Thanks. This helped a lot. I like all ur videos. Keep on making more

  • @patrickjmt
    @patrickjmt  14 лет назад

    @Papu1234 you can love me in whatever way you want; i find them all acceptable.

  • @Nnexxxx
    @Nnexxxx 11 лет назад

    You can't divide the root 52 because the 2 is outside the sqr root. You can divide if it's inside, but not outside. You can divide the 6 by 2 though.

  • @BryanHernandez-jn9yg
    @BryanHernandez-jn9yg 9 лет назад +45

    This is really confusing!!'

  • @PoeticRenegade
    @PoeticRenegade 13 лет назад

    i swear i may pass my math final because of you man!

  • @tamardeleon5705
    @tamardeleon5705 7 лет назад +1

    Can you have some examples of solving Rational Inequalities?. Thanks.

  • @patrickjmt
    @patrickjmt  14 лет назад

    @Nexus2Eden ha! i will start a harem with all my many math fans

  • @Jasminalovesyuh001
    @Jasminalovesyuh001 11 лет назад

    I hope you do realize in the first problem you added 4 to -8 to get -4 when you should've subtracted and that would've gotten you -12 and you could've factored which would have saved you from doing the quadratic formula.

  • @patrickjmt
    @patrickjmt  13 лет назад

    @TheTereminator ha!

  • @timtimm3024
    @timtimm3024 11 лет назад

    My hitler-like teacher is giving us a test over everything we learned in algebra 2 last year, and you sit have saved my life.

  • @ashantiholloway5538
    @ashantiholloway5538 8 лет назад

    thank you soooo much, I was lost the entire time in my math class.

  • @FlabbahJabbah
    @FlabbahJabbah 15 лет назад

    I'm pretty sure the quadratic formula is:
    x=-b+- sqr rt(b^2-4ac)/2b, not
    x=-b+- sqr rt(b^2-4ac)/2a.

  • @Sorcery10
    @Sorcery10 15 лет назад

    AP chem and algebra go hand in hand later on, maybe you should start watching more of these videos :D

  • @jeanetteavellano2349
    @jeanetteavellano2349 9 лет назад

    Thank you ! Now I Know What Is Quadratic Formula

  • @jessicawatson3778
    @jessicawatson3778 7 лет назад

    so I have this Equation that I'm having a hard time working it out.
    Equation: k+4/4 + k-1/4 = k+4/4k
    I break it all down until I get to the last few steps and I just cant figure it out!
    ^=squared
    I end up with 2k^ + 2k - 4 = 0
    and I'm stuck.... I don't know where to go from here
    I'm thinking it's supposed to be (2k + 2)(k - 2).... BUT do I just divide 2/2k? Which would leave me with k = 1 and k = -2????

  • @BoeingPrototype
    @BoeingPrototype 12 лет назад

    Your Videos are amazing keep up the good work. I tend to use these videos as my notes. I was looking down at my A4 paper writing down the examples and my ears confused me at 08:07 . Thought you said "On the right side I'll simply have sex".

  • @FullRamenAlch3mist
    @FullRamenAlch3mist 12 лет назад

    dude, thanks. i have a test tomorrow, atleast i understand some of it now.
    now time to study for bio DX

  • @zcruz123
    @zcruz123 12 лет назад

    thanks bro. i was having trouble with my homework

  • @mrpickles60
    @mrpickles60 12 лет назад

    thank yu this helped me alot in class

  • @lovespooh13
    @lovespooh13 12 лет назад

    Awesome totally made me usertand rational expressions :D thanks so much

  • @jocylyn62
    @jocylyn62 15 лет назад

    the last example relly helped me,your relly awssumm:)))

  • @SuperNaray
    @SuperNaray 13 лет назад

    Could you do one where ther's a whole number in front of the variable in the denominator?

  • @animatrix7
    @animatrix7 11 лет назад

    hello Patrick I have a question on one of the formulas where you used the quadratic formula and you ended up with +6 +/- the sqrt of 52 / 2, can you cancel out the 2 and six ending up with +3 +/- the sqrt of 52. Leaving it with no denominator??

  • @acewttimer
    @acewttimer 9 лет назад

    in your first problem; why did the "x" come out to be x^2 over x? Aren't you multiplying it?

  • @patrickjmt
    @patrickjmt  15 лет назад

    there is a rewind button

  • @rmadrigalb
    @rmadrigalb 14 лет назад

    You are very intelligent. God bless you. Take advantage of this blessing

  • @raymundoserrato
    @raymundoserrato 15 лет назад

    Thanks a lot. Really helped out!

  • @harveygacayan9271
    @harveygacayan9271 8 лет назад +5

    How did it came up with -6x in your second problem? Wtf?!

    • @edellex0805
      @edellex0805 7 лет назад +1

      Harvey Jay transpose it to the right which was -2x - 2x - 2x = -6x

    • @bryanmanuelbaes7871
      @bryanmanuelbaes7871 6 лет назад

      then would -2x be positive since transposing it?

  • @Ebonicz07
    @Ebonicz07 12 лет назад

    hey patrick, i love your videos and your presentation, but i suggest that if you go and do everything step by step, even for the basic stuff, it will make more sense to people like us who might get lost sometime while watching the problem. Thank you.