04 - Completing the Square to Solve Quadratic Equations - Part 1

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  • čas přidán 24. 06. 2019
  • Visit www.MathAndScience.com.
    In this lesson, we learn that all quadratic equations can be solved by a method known as completing the square. This method involves changing the left side of the quadratic into a perfect square, which means that we can then take the square root of both sides to find the solutions.
    All quadratics can be solved this way, even if they aren't factorable. The famous quadratic formula is actually derived and comes from the method of completing the square, which is something we will discuss in a future lesson.

Komentáře • 92

  • @vencatachellumpalen5322
    @vencatachellumpalen5322 Před 3 lety +57

    Thank you for your generosity giving your knowledge free is very appreciated by all the viewers and the devoted students all over the world.

    • @paxtonorlando8003
      @paxtonorlando8003 Před 2 lety

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      I was dumb lost my login password. I love any tricks you can give me.

    • @sukmonster9352
      @sukmonster9352 Před 2 lety +2

      @@paxtonorlando8003 do you remember your email tho ?then you can click forget password

  • @amosotuata8724
    @amosotuata8724 Před 2 lety +17

    You are one of the best Maths teachers I have ever known. The way you breakdown complex concepts into simple ways for easy understanding is just amazing . You have indeed stimulated further my interest in maths.
    Thanks for the freely given tutorial.

  • @MyKrabi
    @MyKrabi Před 3 lety +16

    OMG I have spent 2 weeks struggling with this concept - and he explains it like MAGIC. Thank you for teaching.

  • @mikiasassefa7267
    @mikiasassefa7267 Před 5 měsíci +1

    You are one of the best Maths teachers I have ever known. The way you breakdown complex concepts into simple ways for easy understanding is just amazing . You have indeed stimulated further my interest in maths.
    Thanks for the freely given tutorial,
    Thank you for your generosity giving your knowledge free is very appreciated by all the viewers and the devoted students all over the world

  • @pchuang6698
    @pchuang6698 Před 2 lety +2

    Give this gentleman a Nobel Prize for education! Name him the Friend of Humanity plus a Congressional Medal.
    The part of "time 1/2 and square it" is the eye of the needle, which has stopped millions of camels to get through it. Sir, you have done a great job to open the gate to algebra heaven.

  • @abahiduh3246
    @abahiduh3246 Před 8 měsíci +1

    This man has succeeded in elucidating the fact COMPLETING OF SQUARE is still a waste without factoring....
    We do🔥 COMPLETING of SQUARES only for us to be able to factor again🔥

  • @Dave-py9re
    @Dave-py9re Před 9 měsíci +3

    Best math videos. Thank you. It is fascinating how the process of dividing by 2 and squaring makes the equation workable regardless of values that are not factorable.

  • @user-km3bw8bn9r
    @user-km3bw8bn9r Před 8 měsíci +1

    you saved me. i could not understand this at all. i tried every video but nothing worked, you are the best teacher

  • @AbdulmalikMuritala-pt4vn
    @AbdulmalikMuritala-pt4vn Před 9 měsíci +3

    Nice teaching.👌👌👌👌👌👌

  • @littlerascaleventing
    @littlerascaleventing Před 3 lety +4

    Me using this video instead of my actual lesson because this guy is so much BETTER!!!

  • @ianmendoza6555
    @ianmendoza6555 Před 4 lety +16

    The legend, the myth.

  • @mahussein6281
    @mahussein6281 Před rokem +2

    Thank you so much . Really, the way you elucidate is very clear and easy to follow . I have benefitted you from you tremendously. Indeed you deserve millions of subscriptions, and and I am sure you make an immense difference in my people's lives .

  • @EstherNamwila
    @EstherNamwila Před 10 měsíci +1

    You're the best you know how to explain to make a learner understand 🎉🎉

  • @ijeomaisaac254
    @ijeomaisaac254 Před 8 měsíci +1

    I really understand it now thank you so much ❤️❤️🎉🎉🎉😊😊

  • @hailemelekot5190
    @hailemelekot5190 Před rokem +2

    Thank u sir,I'm just revising my math knowledge from ur interesting teaching method. Keep it up.

  • @chocolateangel8743
    @chocolateangel8743 Před 3 lety +5

    Completing The Square makes a lot more sense when it's done with an area model. You're a good teacher, though.

  • @marysjmaran
    @marysjmaran Před 3 lety +1

    Thank you so so much. I've been struggling for 2 months, your explanation is way better than my maths tr.

  • @jask320
    @jask320 Před rokem +2

    The best explanation ever. Thank you

  • @jasminegarcia6216
    @jasminegarcia6216 Před rokem +1

    I am immensely appreciating your videos!

  • @lindahubbard5454
    @lindahubbard5454 Před 3 lety +2

    Excellent lesson. It’s my 4th time through and I have it. Awesomeness squared.

  • @treason9906
    @treason9906 Před rokem +1

    Please dont stop posting math videos. Love you man ❤

  • @marijana128
    @marijana128 Před rokem +1

    Excellent explanation. Easy to follow and understand. Thank you

  • @idontknow-ms8mc
    @idontknow-ms8mc Před 5 lety +6

    These videos are so good.

  • @simpleman283
    @simpleman283 Před 2 lety +1

    Wow is all I can say. Great lesson. Thank you so much.
    My brain has been in melt down over x^ + (x+1)^ = 25. I got it down to x^ + x = 12,
    but that is as far as I could go. I followed along w/paper & pen, each step.
    Starting at 10:15 - 15:25.
    My answers are 3 or 4. 3 solves for my x
    Yes, it's the old 3,4,5 triangle.

  • @foolsphilosophy
    @foolsphilosophy Před 3 lety +7

    You're an amazing guy. Thanks I'm learning this at 27 years old.

  • @shuneleimyint
    @shuneleimyint Před měsícem

    Thank you for this amazing lesson!!

  • @jillanelemam8047
    @jillanelemam8047 Před 2 lety +1

    You are my super tutor

  • @andrewbazo8388
    @andrewbazo8388 Před 2 lety +1

    Thank you for your valued time, sharing knowledge, can you kindly share the link where you explain about Factorising... @Maths and Science

  • @eugeneamole254
    @eugeneamole254 Před 2 lety +3

    You explained so easy a baby could understand!I finally got it.thanks

  • @salehadham232
    @salehadham232 Před 2 lety +1

    that is wonderful! it is really briliant! alot of thanks!

  • @ernestflores1409
    @ernestflores1409 Před 2 lety +1

    I need the titles of previous videos before this one

  • @tresajessygeorge210
    @tresajessygeorge210 Před 27 dny

    It is difficult to remember... because I do not understand why we do that...!!!
    THANK YOU... SIR...!!!

  • @abdouliendow1022
    @abdouliendow1022 Před 2 lety +1

    Thank very well because any time I got you easily solve it

  • @kkomax7
    @kkomax7 Před 3 lety +9

    What playlist is this video part of?
    I tried to find it in the channels playlist but I culdnt find it.
    Its helping me so much! thanks.

    • @littlerascaleventing
      @littlerascaleventing Před 3 lety +8

      It's part of algebra course 2, unit 9. Hope this helps, he's helped me so much too but I know how confusing it can be if you can't find the playlist.

  • @mariafabiolamata3772
    @mariafabiolamata3772 Před 3 lety +1

    you are an amazing teacher

  • @TheKonzue11
    @TheKonzue11 Před 3 lety +2

    Thank you!

  • @ethioupdatedinfo.
    @ethioupdatedinfo. Před 5 lety +1

    Thanks our math expert

  • @justaman7745
    @justaman7745 Před 3 lety +3

    👍 lesson. But it would have been been better if you had drawn ✍️ the square to explain it. Students will understand much more in visual way.

  • @graceloh8916
    @graceloh8916 Před rokem +1

    Thank you so much

  • @damon123jones
    @damon123jones Před 2 lety +1

    great teacher

  • @tuffbear7603
    @tuffbear7603 Před 3 lety +5

    THANK YOUUU!!!

  • @Iceage5811
    @Iceage5811 Před rokem +1

    For this method does a have to be 1 and b an even number?

  • @fredrickeffi2143
    @fredrickeffi2143 Před 8 měsíci +1

    Excelente

  • @nilabezhan9458
    @nilabezhan9458 Před 3 lety +2

    Thank u sir very very much

  • @unculturedweeb6095
    @unculturedweeb6095 Před 3 lety +1

    Thank you teacher

  • @kigwanasamuel604
    @kigwanasamuel604 Před 3 lety +1

    thank so much dear for i have understood

  • @jillanelemam8047
    @jillanelemam8047 Před 2 lety +1

    Awesome 👍

  • @faisal_tarshon
    @faisal_tarshon Před 2 lety +1

    thank u

  • @olalerehabeeboluwatobi7256
    @olalerehabeeboluwatobi7256 Před 10 měsíci +1

    Love u sir

  • @glennfelpel9785
    @glennfelpel9785 Před 5 lety +3

    Well done! Thank You

  • @davidlourenco4662
    @davidlourenco4662 Před 7 měsíci +1

    Where are the other parts?

  • @guidofeliz8384
    @guidofeliz8384 Před 5 lety +3

    Are you teaching algebra 2 topics? What is the name of this course?

    • @MathAndScience
      @MathAndScience  Před 5 lety +1

      Yes, and the title of this course is called "The algebra 2 course". Thank you!

  • @mr45_zw54
    @mr45_zw54 Před 3 lety +1

    Thxs

  • @Maya-kn3rl
    @Maya-kn3rl Před 2 lety +1

    10:35 example

  • @biffroberts5906
    @biffroberts5906 Před měsícem

    I'm pretty sure that this guy and the guy that invented "completing the square" are the only two people that ever did complete the square.

  • @meczyfajka
    @meczyfajka Před rokem +1

    Can someone please explain or at least share a link to a video explaining why we divide the b by two and then square it?!

    • @simpleman283
      @simpleman283 Před rokem

      I just found this video 3 days ago. After watching this, you will understand how & why, then you'll never forget.
      czcams.com/video/hJhoEik8P6o/video.html
      Completing the Square - the classic way! by (MikeDobbs76)

  • @chandpashnh.5856
    @chandpashnh.5856 Před 2 lety +1

    Sir help me by solving below question.
    X²+2x+2=0 solve this by complete square method.

  • @guidofeliz8384
    @guidofeliz8384 Před 5 lety +1

    Jason is very good.

    • @MathAndScience
      @MathAndScience  Před 5 lety +2

      Thank you I really appreciate it.

    • @guidofeliz8384
      @guidofeliz8384 Před 5 lety +1

      @@MathAndScience :
      I want to see you teaching the following courses in the future:
      Linear Algebra
      Partial Differential Equations
      Advanced Linear Algebra
      Advanced Calculus
      Complex Variables
      Algebraic Topology
      Differential Geometry
      Axiomatic Geometry
      Plane Geometry
      History of Mathematics

  • @mrbraamer5645
    @mrbraamer5645 Před 2 lety +1

    But what if b is not as easy to be divided by two like 15x… you get a decimal. Right?

  • @majakmajokkhon6770
    @majakmajokkhon6770 Před rokem +1

    I am sorry to ask you this question sir
    What if the -6 in that equation X^2 -6x -3 is and odd number like -7x then what are we supposed to do?

    • @MathAndScience
      @MathAndScience  Před rokem +2

      You do the same thing but you need to deal with the fraction 7/2. Not fun!

    • @majakmajokkhon6770
      @majakmajokkhon6770 Před rokem +1

      ​​@@MathAndScience thanks so much sir
      I am a young basketball player but you made maths more easier for me ❤❤

  • @sumitbhoi4070
    @sumitbhoi4070 Před rokem +1

    13:51 How ?
    I mean why did you add ?

  • @augustinearkoturkson2198
    @augustinearkoturkson2198 Před 3 lety +3

    What if i don't get a perfect square quadratic?

    • @tanishar6548
      @tanishar6548 Před 3 lety +1

      It always has to be a squared quadratic if it’s not then guess ur ans is wrong or Check w ur teacher once

  • @michaelgilbert1531
    @michaelgilbert1531 Před 2 lety +2

    Ilove you dady

  • @thatomofolo452
    @thatomofolo452 Před rokem +1

    1:21

  • @samsonaporador8820
    @samsonaporador8820 Před 5 lety +31

    i hate my X,, dont ask Y

  • @MusawwiraExhibition
    @MusawwiraExhibition Před 3 lety +1

    OK... I need to solve a simultaneous quadratic equation that is
    ;4x2 -5y2 =6
    3x2+y2=14
    anyone knows how to solve it, please comment..its urgent

  • @harry011984
    @harry011984 Před 10 měsíci +1

    How does it work with this one. Y^2 +3y -10=0. I don't seem to get the right answer. Get (y +3/2)^2, which expands to y2 +3y +(3/2)^2 -10 =0+(3/2)^2.
    Aghhhhh

  • @thatomofolo452
    @thatomofolo452 Před rokem +1

    💪💪💪💯💫

  • @kfjfkeofitorhf9520
    @kfjfkeofitorhf9520 Před rokem +1

    X=-1
    1+(-2)+1=0

  • @ethioupdatedinfo.
    @ethioupdatedinfo. Před 5 lety +2

    Being the first

  • @michelleturnipseed8108
    @michelleturnipseed8108 Před 2 lety +1

    dont work

    • @simpleman283
      @simpleman283 Před 2 lety +1

      it did for mine x^ + x = 12
      3 or 4.
      3 works