How to Solve Quadratic Equations using Three Methods - When Leading Coefficient is Not One

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  • Опубліковано 18 чер 2024
  • Learn how to solve quadratic equations using 3 different methods when the leading coefficient is other than 1. By PreMath.com
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КОМЕНТАРІ • 151

  • @mauriziograndi1750
    @mauriziograndi1750 3 місяці тому +9

    At last someone clever that knows how to explain what is regarded a bit difficult. Brilliant explanation. Thank You.

  • @navysailor1980
    @navysailor1980 8 місяців тому +25

    I didn't think I would ever understand how to use the quadratic formula until I found this video, thank you for explaining it so well, it's not easy but this is where you understand the concept and then work from there to make it easier for yourself, practice makes things better.

  • @tmling9417
    @tmling9417 Рік тому +12

    i learn this 35 years ago from a classroom but understand nothing.
    by now, after watched this short video make me fully understand
    it is not too hard indeed, thank you Sir.

  • @itxxayo3895
    @itxxayo3895 Рік тому +106

    If you see this comment, Pay attention to the work so that you don't fail your test tomorrow

    • @MoaBoan
      @MoaBoan 6 місяців тому +6

      My test is today I skipped the day I was learning this and now I have to pay😅

    • @user-gf2yw8mh6h
      @user-gf2yw8mh6h 3 місяці тому +1

      Okay thanks

    • @Sikhuliso
      @Sikhuliso 3 місяці тому +1

      Writing AS Maths test tomorrow 😢😢😢

    • @eboroemmanuel5606
      @eboroemmanuel5606 3 місяці тому +1

      You'll fail in flying colours

    • @user-fb5rf5ue5n
      @user-fb5rf5ue5n 3 місяці тому +2

      Thank youuu 😭😹

  • @magdalenasakaria6232
    @magdalenasakaria6232 8 місяців тому +9

    This is the method we learnt yesterday with our lecturer, I hope it gonna be asked in the exams, then I'll surely nail it, thanks so much.😊❤

  • @kainaatmakhani6550
    @kainaatmakhani6550 2 роки тому +13

    Thank you so much sir. I had a hard time understanding quadratic equations, but now its the easiest lesson for me....😊👍

  • @llvkkkkkkk7
    @llvkkkkkkk7 2 роки тому +18

    An hour of trying to understand compare to a 15 minutes video. Thank you so much, you help me a a lot sir.

  • @brookesterling4935
    @brookesterling4935 9 місяців тому

    the way you explain it makes solving these equations makes it so easy to understand!

  • @marcellajanbrack
    @marcellajanbrack Рік тому +1

    God richly bless you sir I never understood this concept in class for a year now :)

  • @levykabole
    @levykabole Рік тому +2

    very excellent explanation where even a slow leaner can get the concept very fast thank you so much

  • @marklewis4075
    @marklewis4075 2 місяці тому +2

    I think the simplest way by some margin is to multiply 10 by -3 the find the 2 factors of 30 that combine to make 13, ie 2 and 15, giving (x - 2)(x +15) now, the clever bit is just to divide the 2 and 15 by the 10 , simplify and allocate the denominators to the x terms giving (5x - 1)(2x + 3). There is a YT clip on this.

  • @govindashit6524
    @govindashit6524 3 роки тому +2

    I love 3rd method, and also love you and your approach.
    💞💞💞

  • @Mika_.e
    @Mika_.e 5 місяців тому

    I just found this video and it really helped me a lot learn this in advanced!! Thank youu!!! 🙌

  • @carnalea2424
    @carnalea2424 Рік тому +7

    I studied maths at school many years ago, never found it easy and have forgotten so much, so this is helping me gradually understand again.

    • @nanburponle5516
      @nanburponle5516 Рік тому +4

      U have to put everything in practice all time.

    • @jaydenhall2689
      @jaydenhall2689 Рік тому +2

      @@nanburponle5516 thats the only way its gon stick

  • @mariarodrigo1450
    @mariarodrigo1450 3 роки тому +13

    Thank u so much sir. I had a hard time understanding quadratic equations, but now its the easiest lesson for me....😊👍👏

  • @karenbonnetti-ramirez6264
    @karenbonnetti-ramirez6264 3 місяці тому

    Excellent video tutorial! Thank you so much.🙏🏽

  • @brendanpatterson1952
    @brendanpatterson1952 6 місяців тому

    best explanation ive seen yet. thanks!

  • @AgyeinimBoateng-uo3dr
    @AgyeinimBoateng-uo3dr Рік тому

    Sir, your method of teaching is really understanding.l just wish l could send some questions which are so tricky.

  • @ahmadkarimpour0
    @ahmadkarimpour0 5 років тому +1

    than you very much this is the best teacher i have got

  • @stephenmumba6353
    @stephenmumba6353 Рік тому +1

    ❤thanks very much sir, I am so grateful for your help❤

  • @user-md6db9ve8n
    @user-md6db9ve8n 7 місяців тому

    Thank you very much sir it's very clearly understanding explanation

  • @chathuranibotheju839
    @chathuranibotheju839 Рік тому +3

    THANK YOU VERY MUCH SIR . THE 3RD METHOD WAS BIT DIFFICULT TO ME . I GUESS IM GONNA USE THE FIRST 2 METHODS IN THE EXAM. ANY WAY THANKS AGAIN FOR THE GREAT VIDEO

  • @cherrygomez2265
    @cherrygomez2265 Рік тому

    Thank you so much!!! This is amazing! 🤗

  • @user-bw5lf9nc4c
    @user-bw5lf9nc4c 6 місяців тому

    Thanks so much ,it is been very difficult for me at school ,I think I understand a little 😊

  • @mathewsmwaba7294
    @mathewsmwaba7294 Рік тому

    well explained and much appreciated.

  • @lifepersonal9454
    @lifepersonal9454 Рік тому

    I just knew there are three ways to solve the quadratic equation. Thanks

  • @boytongo
    @boytongo 3 роки тому +8

    Well explained... Thank you. I recall when I was a student and how interesting this subject was...

    • @PreMath
      @PreMath  3 роки тому +3

      So nice of you Garbriel! You are an awesome 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and all the best😃 Have a very happy and blessed New Year!

  • @nanburponle5516
    @nanburponle5516 Рік тому

    Thank you so much sir I got something reasonable here

  • @WEYAULAJOHN
    @WEYAULAJOHN 5 місяців тому +1

    Bravo ! Sir , help us on sequence and series please.

  • @ndindapeter9711
    @ndindapeter9711 10 місяців тому

    I have never understood but now i have got it💯👍

  • @antoinetteseda7424
    @antoinetteseda7424 Рік тому

    Thanks your a lifesaver

  • @juniortecky8701
    @juniortecky8701 Рік тому

    Nice lessons sir enjoyed it

  • @olivianakakawa9094
    @olivianakakawa9094 Рік тому

    hello i really like the way you teach thank you

  • @SakabarakatOpeyemi-ms1hy
    @SakabarakatOpeyemi-ms1hy 4 місяці тому

    Wow I finally understood completing the square method

  • @krishnakantsonar1191
    @krishnakantsonar1191 Рік тому

    Very nice explanation Sir

  • @innocentgirl6124
    @innocentgirl6124 2 роки тому

    Thank you so much sir

  • @boulaculture1276
    @boulaculture1276 Рік тому

    Thank you very much

  • @philipgueh7771
    @philipgueh7771 2 роки тому

    Thanks you sir I was having hard time with completing the square

  • @modeccaimukana4322
    @modeccaimukana4322 Рік тому +1

    Thanks 👍

  • @nehachaudhari1871
    @nehachaudhari1871 3 роки тому +1

    Thank you sir

  • @nishanthasubasingha6284
    @nishanthasubasingha6284 2 роки тому

    Thanks for explain

  • @dawon7750
    @dawon7750 9 місяців тому +1

    I am glad there are now many easy ways to solve for the trinomial, good for the students . But actually, in real life, this kind of math is of no use! Actual situations are much more easy if one just have a common sense!

  • @mengistugebrekirstos2419
    @mengistugebrekirstos2419 6 місяців тому

    Sir you're the best

  • @emiliasuero310
    @emiliasuero310 2 місяці тому

    Amazing!!!!!!

  • @aunmuhammad8297
    @aunmuhammad8297 2 місяці тому

    Do we have to multiply by 2 and take square always?

  • @nishanthasubasingha6284
    @nishanthasubasingha6284 2 роки тому

    And also can u pl explain about plottings

  • @svunurainyamandi9700
    @svunurainyamandi9700 4 місяці тому

    I think the sign is is important. It should be 10x(-3)=-30 such that - 2x15=-30.
    Otherwise one could also take 10x3=30. 10+3=13 too.

  • @rehanasultana1811
    @rehanasultana1811 2 роки тому

    Make more videos about quadratic equation

  • @shafiullah8354
    @shafiullah8354 Рік тому

    -1/5 and 3/2 .might I'm right .cause completely confuse sir .please make sure how you did it.thanks

  • @IqbalSingh-qy2wr
    @IqbalSingh-qy2wr Рік тому +1

    😊😊😊 very nice and beautiful ❤️

  • @makwanyawinnet648
    @makwanyawinnet648 3 роки тому +2

    Thank you sir now l am understanding

    • @PreMath
      @PreMath  3 роки тому +2

      So nice of you Makwanya! You are awesome 👍 I'm glad you liked it! Please keep sharing premath channel with your family and friends. Take care dear and stay blessed😃

  • @aftabwarsi2889
    @aftabwarsi2889 4 роки тому +13

    Nice, waaaooo, best teacher

    • @PreMath
      @PreMath  4 роки тому +4

      You're very welcome Aftab! Thank you so much for taking the time to leave this comment. I'm glad you liked it! Your feedback is always appreciated. Please keep supporting my channel. Mashallah baby thumbnail is so cute 😀

  • @davidicaisuomoding1102
    @davidicaisuomoding1102 4 роки тому +4

    I basically needed more illustrations on graphical method of solving quadratic equations

  • @pritamdhinsa448
    @pritamdhinsa448 6 років тому +2

    10 x 3 = 30 = 15 x 2. Hence 1/10 (10 x + 15)( 10 x - 2) =o . Hence (2 x + 3)( x - 1) =0 so x=1 and x = -3/2 = -1 1/2. PSD.

  • @baariiusmaail3212
    @baariiusmaail3212 2 роки тому

    very good

  • @channelsixtysix066
    @channelsixtysix066 2 роки тому +1

    I always find completing the square amusing, when you get the horrific looking fractions like 289/400 during the working out.

  • @Gtyriuj
    @Gtyriuj 6 місяців тому

    Amazing

  • @viswanathancr2801
    @viswanathancr2801 2 роки тому

    good video

  • @AlisonFerguson-qt8kx
    @AlisonFerguson-qt8kx Місяць тому

    Thanks so much i was green about this but am now ok

  • @andrewau1993
    @andrewau1993 3 роки тому +2

    kindly tell me which way to choose when I see a quadratic eqaution?

    • @PreMath
      @PreMath  3 роки тому +8

      Dear Andy, if I were in your shoes I would definitely try factoring method first. If factoring not feasible, then go for Quadratic Formula. However, Completing square method is a very powerful tool used in applications! Thanks for asking😀
      I'm sure you are a brilliant and bright student 👍 Please keep sharing my channel with your family and friends. Take care dear and all the best😃

    • @mikeoliver5671
      @mikeoliver5671 Рік тому

      With respect, calculate the discriminant first.
      That will tell you if:
      --- it can be factorised (the discriminant will be a numerical perfect square), or not, or
      --- if the quadratic is a perfect square ( ie b^2 - 4ac = 0), or not .
      Completing the square on
      10x^(2) + 13x - 3 = 0 is unnecessarily difficult/complex, since the quadratic can be factorised.

  • @Rk_s12
    @Rk_s12 5 місяців тому

    Thankyou so much sirrrrrrrrrrrrrrrr🎉 for 🎉🎉❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤csm

  • @benbousora9455
    @benbousora9455 3 роки тому +3

    Why we used 30=2*15 then -2 +15 and not 30=3*10 then +3+10 how to choose
    thank you.

    • @Yesmayo1982
      @Yesmayo1982 2 роки тому

      either 3 or 10 had to be negative..not both positive which is the only way to get 13 your way

  • @hosayjalal8426
    @hosayjalal8426 Рік тому

    👌👌👌💫

  • @patrickwalker9958
    @patrickwalker9958 2 роки тому +1

    After 11 minutes in the video when the left side becomes a complete square what happened to 13/10x in the equation ... X +13/10 + (13/20)*2

  • @Godswill247always
    @Godswill247always Рік тому +2

    who are you guys on this youtube factorising 10x2 +13x -3 as (10x-2)(10x+15)?

  • @ariruuu1200
    @ariruuu1200 2 роки тому +2

    Why not 3 times 10? 10+3 is 13?

  • @svunurainyamandi9700
    @svunurainyamandi9700 4 місяці тому

    Was referring to factorisation!

  • @Rangaswamy-ju3db
    @Rangaswamy-ju3db Рік тому

    What about 13÷10x ..how it is romoved

  • @SuperYoonHo
    @SuperYoonHo 2 роки тому

    good

  • @dodavega
    @dodavega Рік тому

    Why divide by 2 in completing the square

  • @theophonchana5025
    @theophonchana5025 2 роки тому

    #QuadraticEquation #trinomial #polynomial #factoring #factor

  • @pritamdhinsa448
    @pritamdhinsa448 6 років тому

    Please rectify my last step. Factors were (2x+ 3)((5 x-1)=0. Hence x = - 3/2 = -1 1/2 and x = 1/5. PSD.

    • @PreMath
      @PreMath  6 років тому

      Pritam Dhinsa ji, you are right on. Cheers :)

  • @kencrerar7076
    @kencrerar7076 Рік тому

    Thanks from a dad trying to help out his boy

  • @natachaeyadi3623
    @natachaeyadi3623 Місяць тому +1

    If the coefficient is small, example 3.

  • @natachaeyadi3623
    @natachaeyadi3623 Місяць тому +1

    Wo😂😂😂 the best

  • @shreeramakrishna347
    @shreeramakrishna347 4 роки тому +1

    Sir in your factoring 10x . 10x is 100x^

  • @derickespejo2934
    @derickespejo2934 3 роки тому

    how about the X method can u make video too? thanks

  • @theophonchana5025
    @theophonchana5025 2 роки тому

    #binomial #linearequation

  • @theophonchana5025
    @theophonchana5025 2 роки тому

    #crossmultiply #crossmultiplication #crossmultiplying

  • @brett54
    @brett54 3 місяці тому

    The leading coefficient does NOT have to be 1. That is false. In fact, it is easier to complete the square in this case by multiplying through by 40 (thus avoiding fractions).
    So 400x^2+520=120 , now our first coefficient is also a perfect square (20x)^2 and the 2nd coefficient is an even number.
    So (20x +13)^2=289 Easy.

  • @rsajdok
    @rsajdok 2 роки тому

    On 12 minute why 13/10 disappeared?

  • @subbaraob8474
    @subbaraob8474 2 роки тому

    Write 13x as 15x-2x

  • @user-cn1ji4vs8w
    @user-cn1ji4vs8w 3 місяці тому

    H^2_15h+54=0

  • @theophonchana5025
    @theophonchana5025 2 роки тому

    b^(2) - 4ac = 289

    • @kfjfkeofitorhf9520
      @kfjfkeofitorhf9520 Рік тому

      10X^2+++13X----3==0
      A========B===C
      13++/13^2--4(10)(3)/20
      13+/169++120/20
      13+/289/20

  • @moseskoro4083
    @moseskoro4083 2 роки тому

    S=ut+1/2at

  • @leosmart7709
    @leosmart7709 3 роки тому +2

    Why not 10+3 and 10*3

  • @sobiyamuhammadkhurram5755
    @sobiyamuhammadkhurram5755 Рік тому

    Why did he not use 3 and 10 as factors of 30.
    When 10*3 = 30 and 10+3 =13 ????????

    • @-okCat-
      @-okCat- Рік тому

      because the 3 was negitive. 10 x -3 = -30 and that would not work if you used 10 and 3

  • @nishanthasubasingha6284
    @nishanthasubasingha6284 2 роки тому +1

    I went to my school time

  • @theophonchana5025
    @theophonchana5025 2 роки тому

    5x - 1 = 0
    5x = 1
    x = 0.2

  • @jaykumarjoshi5173
    @jaykumarjoshi5173 3 роки тому

    I do not understand anything about solving equation unnecessarily l spoil time

  • @skellingtonmeteoryballoon
    @skellingtonmeteoryballoon Рік тому

    there was a square i overlooked

  • @theophonchana5025
    @theophonchana5025 2 роки тому

    10x - 2 = 0
    10x = 2
    x = 0.2

  • @theophonchana5025
    @theophonchana5025 2 роки тому

    2x + 3 = 0
    2x = -3
    x = -1.5

  • @parsurambhatra9885
    @parsurambhatra9885 3 роки тому +1

    Ram

    • @PreMath
      @PreMath  3 роки тому +1

      Take care dear and all the best. Keep smiling😃

  • @theophonchana5025
    @theophonchana5025 2 роки тому

    10x + 15 = 0
    10x = -15
    x = -1.5

  • @JohnChicco
    @JohnChicco 2 місяці тому

    You can't leave -3 over 2 bro that's an improper fraction 😮

  • @khaledalsaoub6760
    @khaledalsaoub6760 2 роки тому

    (2x+3)(5x-1)

  • @merrylbutcher4965
    @merrylbutcher4965 2 місяці тому

    There is a lot of what to do, but never why it is being done.???? This
    does not lead to understanding maths.

  • @ChavoMysterio
    @ChavoMysterio 3 роки тому +1

    10x^2+13x-3=0
    (10x+15)(10x-2)=0
    (2x+3)(5x-1)=0
    2x+3=0
    2x=-3
    x=-1.5
    5x-1=0
    5x=1
    x=0.2
    x={-1.5,0.2}

    • @PreMath
      @PreMath  3 роки тому +1

      Great feedback! Thank you so much for your continued love and support. Take care dear and stay blessed😃

  • @khaned5426
    @khaned5426 2 роки тому

    ?????????//