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Solving Quadratic Equations By Completing The Square

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  • čas přidán 18. 01. 2018
  • This algebra video tutorial explains how to solve quadratic equations by completing the square. It contains plenty of examples and practice problems.
    How To Solve Simple Quadratic Equations: • How To Solve Simple Qu...
    Solving Quadratic Equations By Factoring:
    • How To Solve Quadratic...
    How To Factor Difficult Quadratic Equations:
    • How To Factor Difficul...
    Solving QE By Completing The Square:
    • How To Solve Quadratic...
    Solving Equations In Quadratic Form:
    • Solving Equations In Q...
    Sum and Products - Quadratic Equations:
    • How To Find The Sum an...
    _______________________________________
    How To Calculate The Discriminant:
    • How To Determine The D...
    Standard Form to Vertex Form:
    • Standard Form to Verte...
    Graphing Quadratic Functions:
    • Graphing Quadratic Fun...
    How To Find The Axis of Symmetry:
    • How to Find The Axis o...
    Graphing Quadratic Functions - Vertex Form:
    • Graphing Quadratic Fun...
    Graphing QF in Standard Form:
    • Graphing Quadratic Fun...
    ___________________________________________
    Writing Quadratic Equations:
    • Writing Quadratic Equa...
    Maximum and Minimum Word Problems:
    • Maximum and Minimum Va...
    Systems of Quadratic Equations:
    • Systems of Quadratic E...
    Systems of Nonlinear Equations:
    • How To Solve Systems o...
    Quadratic Inequalities:
    • Quadratic Inequalities
    Quadratic Equations - Test Review:
    • Quadratic Equations Mu...
    ___________________________________________
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

Komentáře • 150

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Před 6 měsíci +11

    Final Exams and Video Playlists: www.video-tutor.net/

  • @emacelikovic1675
    @emacelikovic1675 Před 6 měsíci +138

    you've deadass taught me more in like 5 hours what my maths teacher couldnt in 5 months

    • @Imtoxicngl
      @Imtoxicngl Před 3 měsíci +5

      Deadass he makes it so simple teachers be struggling

  • @kellycasandraagot3689
    @kellycasandraagot3689 Před 3 lety +514

    Everybody's busy listening and just vibing with stress

    • @anonomoususer9331
      @anonomoususer9331 Před 3 lety +28

      Lmfaoo idk if its just my school but this year specifically has me dead inside and its so hard to focus on this lmfao

    • @jnapbatobatan1512
      @jnapbatobatan1512 Před 3 lety +9

      same bruv kinda vibing with stress too

    • @Circa1628
      @Circa1628 Před 3 lety +3

      @@anonomoususer9331 I've got the opposite. To much focus. Feels like my eyes aren't blinking as much. But also got the dead inside vibe. Look at us-- twinsies.

    • @dakarielliot7019
      @dakarielliot7019 Před 2 lety

      I dont mean to be off topic but does someone know a method to get back into an Instagram account..?
      I somehow forgot the password. I would appreciate any help you can give me

    • @juliusconrad1330
      @juliusconrad1330 Před 2 lety +1

      @Dakari Elliot instablaster ;)

  • @samuelarendac4896
    @samuelarendac4896 Před 3 měsíci +31

    You single handedly saved me from my quiz tomorrow. Thank you so much!!

  • @stacyoketch6913
    @stacyoketch6913 Před 3 lety +79

    I don't think there's any better teacher than you👏👏my mathematics and applied science has become so much easier.. thank you so much

    • @thanosofthecommunistdruzhi9107
      @thanosofthecommunistdruzhi9107 Před 4 měsíci

      My current math teacher is probably one of the best math teachers there are, even amongst social media mathematicians who make sound guides. Alas, my teacher doesn’t make any video guides and have notes that are, for me, hard to follow. So the only way I can learn is by focusing in class which my absent and mathematically impaired mind is not too good at. I have to sporadically seek CZcams guides as a result, lol.

  • @joviesqq
    @joviesqq Před 8 měsíci +9

    Ive been searching for so many tutorials for this all night and none of them helped me as much as this one. When I tell you I out loud said "oh- i get it" and laughed over how long it took me to realize my mistake 😭😭 thank you so much youve got a new subscriber 🙏

  • @amharictereteret
    @amharictereteret Před 3 lety +37

    You're the best teacher i have ever seen before.

  • @emofurriess7102
    @emofurriess7102 Před 5 měsíci +66

    yup i'm definitely failing

  • @sasquatchIRL
    @sasquatchIRL Před 2 lety +27

    Again, doing a better job explaining this than my math teacher. Left my math class today being totally confused, couldn't figure out the homework, came here, now it's game on for the homework!

  • @ngndnd
    @ngndnd Před 3 lety +54

    this just confused me even more

    • @aggazaw9008
      @aggazaw9008 Před 9 měsíci +6

      You just don't know basics

    • @harimaharjan2591
      @harimaharjan2591 Před 2 měsíci +1

      ​@@aggazaw9008Fr

    • @t-sauce2497
      @t-sauce2497 Před 16 dny

      Just use the formula: a(x + b/2)^2 -(b/2)^2 + c

    • @ZOMBIE_NOTFOUND
      @ZOMBIE_NOTFOUND Před 7 dny +1

      @@t-sauce2497 what if ax²=bx+c?
      like 5x²=2x+1 how to solve this?

    • @assassin101c
      @assassin101c Před dnem +1

      @@ZOMBIE_NOTFOUND Bring the 2x term over to the left side by subtracting it from both sides.
      5x² = 2x + 1 becomes
      5x² - 2x = 1
      Take the 5 out
      5x² - 2x = 1 becomes
      5(x² - (2/5)x) = 1
      we can simplify this again by dividing both sides by 5
      5(x² - (2/5)x) = 1 becomes
      x² - (2/5)x = 1/5
      Now you have it in the form you want. Take the -2/5, half it and square it, then add to both sides. -2/5 halfed is -1/5. This -1/5 is the term we want inside the brackets. Squaring that gives (-1/5)^2 = 1/25. So add 1/25 to both sides.
      x² - (2/5)x = 1/5
      x² - (2/5)x + 1/25 = 1/5 + 1/25
      (x - 1/5)² = 1/5 + 1/25
      We can simplify the right side by making them have a common denominator. 1/5 = 5/25. so 1/5 + 1/25 = 5/25 + 1/25 = 6/25
      (x - 1/5)² = 1/5 + 1/25
      (x - 1/5)² = 5/25 + 1/25
      (x - 1/5)² = 6/25
      Square root both sides.
      (x - 1/5)² = 6/25
      x - 1/5 = ± sqrt(6/25)
      x - 1/5 = ± sqrt(6)/5
      Add 1/5 to both sides
      x - 1/5 = ± sqrt(6)/5
      x = ± sqrt(6)/5 + 1/5
      x = (± sqrt(6) + 1)/5
      Not the best way to solve an equation like that but I hope it helps.

  • @np7729
    @np7729 Před rokem +1

    Dude week u save my grades at least 4 times, cant thank you enough

  • @GODiKING
    @GODiKING Před rokem +7

    0:00 Completing the Square
    4:14 3x Squared minus 5x is Equal to 10 Solve by completing the Square and factor the Expression

  • @yourhabibi1393
    @yourhabibi1393 Před 2 lety

    His videos about math makes mo comfortabl hehe

  • @ambadeblau
    @ambadeblau Před 3 lety +9

    congrats on reaching 2M!!!

  • @RakOfLamb
    @RakOfLamb Před 2 měsíci

    This method is my strongest and watching this video helped me strengthen completing the square for me thanks

  • @ExcitedFreshwaterLake-be9kp
    @ExcitedFreshwaterLake-be9kp Před 2 měsíci

    Bruh I've got my last test of the year tomorrow and you helped me understand thanks a million

  • @Samerosaamamma
    @Samerosaamamma Před 4 měsíci +27

    bro what is going on

    • @samhithaajjarapu2690
      @samhithaajjarapu2690 Před 2 měsíci +5

      this is kinda late, but he does have another video about 30 minutes explaining all the basics. you should watch that and then watch this one. it should clear things up :)

    • @londekadlamini1609
      @londekadlamini1609 Před 13 dny

      I'm completely lost

  • @MariamAhmedHussein
    @MariamAhmedHussein Před 2 lety

    thank uuuu this helped alot

  • @AnnAlojo-iq6rv
    @AnnAlojo-iq6rv Před rokem

    U are the best 👏👏

  • @jeromeross5440
    @jeromeross5440 Před 7 měsíci

    I am really impressed with your teaching skills.How can we see a photo of you?

  • @Sara3346
    @Sara3346 Před 3 lety +13

    I learned nothing from this , but heres to adding to the fifteen comments!

    • @Midnyter
      @Midnyter Před 3 lety +3

      It confused me even more.

  • @user-yf6mm8gi1r
    @user-yf6mm8gi1r Před měsícem

    thank u very much. very helpful

  • @algtkz
    @algtkz Před rokem

    Thank u!

  • @ivesphillips
    @ivesphillips Před 3 měsíci +2

    Sir, if these videos help me get a passing grade for my college algebra course, I will kiss your feet.

  • @BikorimanaTheoneste-xq2ov
    @BikorimanaTheoneste-xq2ov Před měsícem

    Thank you so much ❤

  • @jessejames4284
    @jessejames4284 Před 5 měsíci +1

    Outstanding-I'm teaching my grandson geometry via internet, and we are completing the square in a geometry exercise. we will review your presentation as it is well presented. Thanks.

  • @SillyGoofeGuy
    @SillyGoofeGuy Před 6 měsíci

    wait so im doing this with a y= equation (for exapmle: y=x^2 - 6x + 5) and i dont understand what to do because around 1:21 you add 5 and 2^2 what do you do if the thing is y+3^2??

  • @eipimath
    @eipimath Před rokem +3

    Thanks for sharing! I posted a video on completing the square using remainder theorem. Hope to get your opinion on it.

  • @nixc71
    @nixc71 Před 2 lety +2

    Where’s the video where you shoe the shortcut when it comes to factoring ?

  • @OldLadyMapleSeed
    @OldLadyMapleSeed Před 3 měsíci

    Thanks so much

  • @aphelmusonda5253
    @aphelmusonda5253 Před 2 lety

    thenk you

  • @itz_peely7233
    @itz_peely7233 Před 5 měsíci

    still don't understand that 3rd one but this helped!

  • @jeromeross5440
    @jeromeross5440 Před 7 měsíci +2

    Thanks!

  • @user-sw7lm9uk3r
    @user-sw7lm9uk3r Před 8 měsíci +1

    at 2:30 could you simply divide all terms by two instead of factoring out the two?

    • @d1nyamic
      @d1nyamic Před 8 měsíci

      Yeah I tried it and eventually you get the same answer. imo, just dividing everything by 2 is much faster and easier

  • @saitamawithhair6645
    @saitamawithhair6645 Před 3 lety

    Adding this goddamn questions

  • @Zion1-pk3kr
    @Zion1-pk3kr Před 2 měsíci

    thank you bro

  • @jeremiahogunfuwa9187
    @jeremiahogunfuwa9187 Před 3 měsíci

    Thank you

  • @zuhakhan7990
    @zuhakhan7990 Před 10 měsíci

    How do you do second provlem!???

  • @joslinsmith2834
    @joslinsmith2834 Před rokem +2

    Currently crying.

  • @nechelleveal8151
    @nechelleveal8151 Před rokem

    Hey in 5:01 of the video, how are you getting (-5/6)^2?

    • @skillbeerohan3057
      @skillbeerohan3057 Před rokem

      in order to complete the square, you have to take the middle coefficient (in this case, 5/3) and divide it by 2 and then square it. That would make it ((5/3) x (1/2))^2. This equald (5/6)^2. Hope that helps :)

  • @SharePositiveVibes1
    @SharePositiveVibes1 Před měsícem

    which app does he use?

  • @hamzakhalid4487
    @hamzakhalid4487 Před 2 měsíci

    21 mins late to my finals, and relying on this 7 minute video currently💯🫡😶‍🌫️

    • @hamzakhalid4487
      @hamzakhalid4487 Před 2 měsíci

      Giving it up on the fifth minute cuz you just made me forget the rest of the shit I learned, should’ve studied last night fr💀 Goodluck Yall anyways

  • @VictorSeedorsky
    @VictorSeedorsky Před 3 lety +1

    where is that 2 to square power disappear in the first line in 1:10 for the first example from the left side of the equation..? You mate do not explain this at all... Why?

  • @keiartzmarie8276
    @keiartzmarie8276 Před rokem +1

    1:02 i think i was thought a different type of method of this cause I don't understand anything anymore!!!! I know the the formula is (b over 2) therefore -12 ÷ 2 ²= 6² then just continue to divide 6x6 i didn't know you had have find it's root too.... Ugh my brain

  • @sen2933
    @sen2933 Před 3 lety +4

    for the third exaple,what if the 4 is divisible by 100 which is 3 is not divisible by 145 on the video?what do i do next if 4 is divisible by 100????

  • @jackgriffin702
    @jackgriffin702 Před 3 lety +3

    This is how I’m passing

  • @MusondaAmon
    @MusondaAmon Před 3 měsíci +1

    I don' like those indian teachers
    You're the best❤

  • @ItxzRoro
    @ItxzRoro Před rokem

    Here I am doing my homework at 1 am that is due within the next hours

  • @QuangNguyen-dw9je
    @QuangNguyen-dw9je Před 2 lety

    1:05 What is the purpose of taking the square root of both sides? I'm sure there is a good reason but need someone to explain it to me. Thanks

    • @jaimeguerrero4587
      @jaimeguerrero4587 Před 2 lety

      You have to get rid of the ^2 on the left and whatever you do to one side you do to both

  • @Victoria-it2jw
    @Victoria-it2jw Před 5 lety +12

    2:30 What do you mean you have added 18 to the left side? Do you read these messages? Can you please explain that? Thank you for all you do. You really have a gift of explaining math and taking the fear out of it. My anxiety level drops when I need a video & I see that it is on your channel.

    • @aarony7960
      @aarony7960 Před 5 lety +3

      What he means is that because he factored 2 out of the equation, he needs to multiple the number he added by two to balance out the equation.

    • @cazabuilders6110
      @cazabuilders6110 Před 4 lety +1

      Victoria5653 pooop

    • @jcp6092
      @jcp6092 Před 3 lety

      Total Idiot

  • @miku2128
    @miku2128 Před 2 měsíci

    My alg 1 eoc is in a few days. wish me luck guys!!!

  • @kiethbernaldo9082
    @kiethbernaldo9082 Před 3 lety +1

    Wait i thought 145 can be simplefied as 5 and 36 is 6 and 6 can be simplefied as 3. So basically the final answer is 2 IS EQUAL TO PLUS AND MINUS 5 OVER 3...✌✌

    • @Emma-qh2nf
      @Emma-qh2nf Před 3 lety +2

      You can’t simplify the numerator and denominator of a fraction by different numbers, both the top and bottom of the fraction would have to be divisible by 5 or by 3, not both

  • @kristiandelosreyes4466
    @kristiandelosreyes4466 Před 3 lety +9

    Can anyone solve the equation 3x² + 6x - 1 = 0, my question is how do you solve it if the square root sign is at the dinaminator?

    • @jasminpearce3104
      @jasminpearce3104 Před 3 lety

      try using the method of solving the quadratic equation instead

    • @CODKraken7000
      @CODKraken7000 Před 9 měsíci +1

      bro u really asked a math problem in the CZcams comments section? 💀💀💀💀 try MATHAWAY

  • @aquarius6264
    @aquarius6264 Před rokem +1

    i don't understand the last example..

  • @Mark-tj8ef
    @Mark-tj8ef Před 3 lety +2

    Just adding to the ten comments.

  • @UltraCzar
    @UltraCzar Před 4 lety +1

    Just adding to the 5 comments

  • @infini_T
    @infini_T Před 2 měsíci

    Time to crunch for final exams tomorrow 😊

  • @froggy8711
    @froggy8711 Před 2 měsíci

    im totally bombing my final, amazing resources as always but mannnnnn

  • @sheila5018
    @sheila5018 Před rokem +6

    huh you lost me

  • @James-ec1mu
    @James-ec1mu Před 3 lety +3

    just adding to the 9 comments

  • @Abel-vb1zu
    @Abel-vb1zu Před 5 měsíci

    My teacher had taught me to devide all by 2 on the second one

  • @Whateverdawg12
    @Whateverdawg12 Před 18 dny +1

    We definitely failing 🗣️🔥🔥

    • @t-sauce2497
      @t-sauce2497 Před 16 dny +1

      Just use the formula: a(x + b/2)^2 -(b/2)^2 + c

    • @Whateverdawg12
      @Whateverdawg12 Před 16 dny

      @@t-sauce2497 the thing is they ask you specifically to solve by completing the square

  • @lfctvgo4612
    @lfctvgo4612 Před 5 měsíci

    2:22 nice

  • @user-pm7rz2ex5q
    @user-pm7rz2ex5q Před 5 měsíci

    dam bruh i need an explaination on question like "Express each of the folloing in the form of a-p (x + q)^2"

  • @MiguelGarcia-hl5jo
    @MiguelGarcia-hl5jo Před 2 měsíci +7

    This makes zero sense

  • @DaniloBaldos-gl1ew
    @DaniloBaldos-gl1ew Před 22 dny +1

    yup, i'm definitely failing

    • @t-sauce2497
      @t-sauce2497 Před 16 dny

      Just use the formula: a(x + b/2)^2 -(b/2)^2 + c

  • @mellychidemo5049
    @mellychidemo5049 Před 3 lety

    The second question it's wrong sir . answers are -7 and 1

  • @academicweapon181
    @academicweapon181 Před 3 lety

    why not have some equations that don't equal zero, there was one ,yea, but i need help rewriting the equation so i can solve it

    • @justadude5543
      @justadude5543 Před 3 lety +1

      Just add/subtract both sides to make one side 0.

  • @pornessianrohadevinci1162

    Just adding to the 6 comment

    • @sizell4096
      @sizell4096 Před 3 lety

      Vro why he subtract it to two in 1:23

    • @t8ne766
      @t8ne766 Před 3 lety +2

      @@sizell4096 2-2 is 0 so cancel then 3-2 is 1 thats why x=1

  • @LabranAbdulrahman
    @LabranAbdulrahman Před 2 měsíci

    How do he possibly get 18 in the second equation

    • @Cosmical101
      @Cosmical101 Před 2 měsíci

      he got it from multiplying 2 x 3^2, for some reason this guy doesn't explain anything

  • @Stromeplayzz
    @Stromeplayzz Před 6 měsíci +1

    Bhai kuch samajh nahi aaya

  • @nicolemeregildo1426
    @nicolemeregildo1426 Před 2 lety +1

    Panget fighting!

  • @asia1174
    @asia1174 Před 3 měsíci

    Yeahhhh I’m lost

  • @ChristianJosephcjyanong
    @ChristianJosephcjyanong Před měsícem

    but 3 not a perfect square tho ????

  • @pamelareailty7868
    @pamelareailty7868 Před měsícem +1

    what.

    • @t-sauce2497
      @t-sauce2497 Před 16 dny

      Just use the formula: a(x + b/2)^2 -(b/2)^2 + c

  • @nicholaschryssafis5797
    @nicholaschryssafis5797 Před 3 měsíci +1

    The problem is he never explains conceptually what's going on, he just explains the math steps

  • @user-yl3vf4km3d
    @user-yl3vf4km3d Před 3 měsíci +1

    who else feels like an idot for having to watch this

  • @elysian7583
    @elysian7583 Před 6 měsíci +1

    watching this video because im high as fucking hell and I have a test in a minute so I cannot remember anything

  • @nearistired2654
    @nearistired2654 Před 2 lety

    Why did I even chose STEM fck

    • @sasquatchIRL
      @sasquatchIRL Před 2 lety

      I'm told it gets better, and by better I mean worse. Supposedly there's a pot of gold at the end of this rainbow though.

  • @isaac95395
    @isaac95395 Před 4 lety +2

    Just adding to the 1 comment

  • @jackcannan9045
    @jackcannan9045 Před rokem

    anyone else here from calc ii?

  • @Addiemonkey1346
    @Addiemonkey1346 Před 9 měsíci

    This led me astray anyone have help? I watched this video and now I understand this topic way less

  • @hamiltonbitches453
    @hamiltonbitches453 Před 9 měsíci

    bruh huh

  • @superjumpbros64
    @superjumpbros64 Před 2 měsíci

    I hate math, like actually hate this stuff now. Im trying to solve a logarithm and cant get the quadratic

  • @raiyanhawkar3826
    @raiyanhawkar3826 Před rokem

    the second equation is wrong i guess cause u changed the 12x to 6x for no reason

  • @FilmKidd
    @FilmKidd Před 2 měsíci +1

    I have an Algebra test in exactly 2 hours and 19 minutes…if that’s not a reason to be on yt then idk what is 💀

  • @lucashaha1078
    @lucashaha1078 Před 6 měsíci +2

    Bruh this unit is so whack 🤦‍♂️🤦‍♂️🤦‍♂️🤦‍♂️🤦‍♂️🤦‍♂️🤦‍♂️

  • @user-jv4yk8my4f
    @user-jv4yk8my4f Před 2 měsíci

    Youre just doing things without explaining it

    • @Cosmical101
      @Cosmical101 Před 2 měsíci

      exactly, im trying to figure out how he got these numbers

  • @deeunvi
    @deeunvi Před 3 měsíci

    10 seconds in and i’m lost 🧍🏾‍♀️