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

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  • Опубликовано: 21 ноя 2024
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Комментарии • 170

  • @mauriziograndi1750
    @mauriziograndi1750 8 месяцев назад +14

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

  • @tmling9417
    @tmling9417 Год назад +21

    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.

  • @navysailor1980
    @navysailor1980 Год назад +28

    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.

  • @marklewis4075
    @marklewis4075 7 месяцев назад +3

    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.

    • @lnmukund6152
      @lnmukund6152 2 месяца назад

      With 10 -3 u will not get +13, this will not work out,

  • @carnalea2424
    @carnalea2424 Год назад +8

    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 Год назад +5

      U have to put everything in practice all time.

    • @jaydenhall2689
      @jaydenhall2689 Год назад +3

      @@nanburponle5516 thats the only way its gon stick

  • @llvkkkkkkk7
    @llvkkkkkkk7 2 года назад +18

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

  • @magdalenasakaria6232
    @magdalenasakaria6232 Год назад +10

    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.😊❤

  • @itxxayo3895
    @itxxayo3895 2 года назад +139

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

    • @MoaBoan
      @MoaBoan 11 месяцев назад +9

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

    • @ElizabethMwila-k1c
      @ElizabethMwila-k1c 9 месяцев назад +1

      Okay thanks

    • @Sikhuliso
      @Sikhuliso 8 месяцев назад +1

      Writing AS Maths test tomorrow 😢😢😢

    • @emmanuelbossfx
      @emmanuelbossfx 8 месяцев назад +2

      You'll fail in flying colours

    • @KayIndie-r1i
      @KayIndie-r1i 8 месяцев назад +2

      Thank youuu 😭😹

  • @levykabole
    @levykabole 2 года назад +4

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

  • @marcellajanbrack
    @marcellajanbrack Год назад +1

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

  • @mariarodrigo1450
    @mariarodrigo1450 3 года назад +13

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

  • @brookesterling4935
    @brookesterling4935 Год назад

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

  • @boytongo
    @boytongo 3 года назад +8

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

    • @PreMath
      @PreMath  3 года назад +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!

  • @govindashit6524
    @govindashit6524 3 года назад +2

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

  • @chathuranibotheju839
    @chathuranibotheju839 Год назад +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

  • @AgyeinimBoateng-uo3dr
    @AgyeinimBoateng-uo3dr Год назад

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

  • @Mika_.e
    @Mika_.e 10 месяцев назад

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

  • @aftabwarsi2889
    @aftabwarsi2889 4 года назад +15

    Nice, waaaooo, best teacher

    • @PreMath
      @PreMath  4 года назад +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 😀

  • @karenbonnetti-ramirez6264
    @karenbonnetti-ramirez6264 8 месяцев назад

    Excellent video tutorial! Thank you so much.🙏🏽

  • @achotchuti
    @achotchuti 4 месяца назад +1

    Thanks, I have got a lot from you🎉🎉🎉

  • @brendanpatterson1952
    @brendanpatterson1952 11 месяцев назад

    best explanation ive seen yet. thanks!

  • @JosephKambeta
    @JosephKambeta Год назад

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

  • @ndindapeter9711
    @ndindapeter9711 Год назад +1

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

  • @stephenmumba6353
    @stephenmumba6353 Год назад +1

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

  • @svunurainyamandi9700
    @svunurainyamandi9700 9 месяцев назад

    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.

  • @SakabarakatOpeyemi-ms1hy
    @SakabarakatOpeyemi-ms1hy 10 месяцев назад

    Wow I finally understood completing the square method

  • @WEYAULAJOHN
    @WEYAULAJOHN 10 месяцев назад

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

  • @KoffiBossoMath
    @KoffiBossoMath 4 месяца назад

    Great video. Thanks for sharing. Let's help people with Math.

  • @AwolalaImole
    @AwolalaImole Год назад

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

  • @dawon7750
    @dawon7750 Год назад +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!

  • @paulromsky9527
    @paulromsky9527 3 месяца назад

    Can all 3 methods be used for any quadratic trinomial? It looks like if you have a quadratic binomial (3rd term is zero) completing the squares is the only way to go, correct?

  • @EfeingeSikerete
    @EfeingeSikerete Месяц назад +1

    Excellent explanation but the method he used to factor doesn't work in some cases..

  • @ahmadkarimpour0
    @ahmadkarimpour0 5 лет назад +1

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

  • @lifepersonal9454
    @lifepersonal9454 2 года назад

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

  • @olivianakakawa9094
    @olivianakakawa9094 Год назад

    hello i really like the way you teach thank you

  • @shafiullah8354
    @shafiullah8354 2 года назад

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

  • @aunmuhammad8297
    @aunmuhammad8297 7 месяцев назад

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

  • @benbousora9455
    @benbousora9455 3 года назад +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 года назад

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

  • @Hipoooyyyyy
    @Hipoooyyyyy 2 месяца назад

    Thanks teacher❤

  • @pritamdhinsa448
    @pritamdhinsa448 6 лет назад +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.

  • @mengistugebrekirstos2419
    @mengistugebrekirstos2419 11 месяцев назад

    Sir you're the best

  • @patrickwalker9958
    @patrickwalker9958 2 года назад +2

    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

  • @IqbalSingh-qy2wr
    @IqbalSingh-qy2wr Год назад +1

    😊😊😊 very nice and beautiful ❤️

  • @darin1969
    @darin1969 Месяц назад

    Great video!

  • @MekoSteven-qi5pe
    @MekoSteven-qi5pe 9 дней назад

    Thanks so much 😊

  • @juniortecky8701
    @juniortecky8701 Год назад

    Nice lessons sir enjoyed it

  • @mathewsmwaba7294
    @mathewsmwaba7294 Год назад

    well explained and much appreciated.

  • @krishnakantsonar1191
    @krishnakantsonar1191 Год назад

    Very nice explanation Sir

  • @nanburponle5516
    @nanburponle5516 Год назад

    Thank you so much sir I got something reasonable here

  • @davidicaisuomoding1102
    @davidicaisuomoding1102 5 лет назад +4

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

  • @antoinetteseda7424
    @antoinetteseda7424 2 года назад

    Thanks your a lifesaver

  • @modeccaimukana4322
    @modeccaimukana4322 2 года назад +1

    Thanks 👍

  • @cherrygomez2265
    @cherrygomez2265 Год назад

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

  • @Godswill247always
    @Godswill247always Год назад +2

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

  • @channelsixtysix066
    @channelsixtysix066 2 года назад +1

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

  • @brett54
    @brett54 9 месяцев назад

    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.

  • @makwanyawinnet648
    @makwanyawinnet648 3 года назад +2

    Thank you sir now l am understanding

    • @PreMath
      @PreMath  3 года назад +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😃

  • @andrewau1993
    @andrewau1993 4 года назад +2

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

    • @PreMath
      @PreMath  4 года назад +9

      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 2 года назад +1

      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.

  • @nehachaudhari1871
    @nehachaudhari1871 3 года назад +1

    Thank you sir

  • @informatiqueForEveryOne
    @informatiqueForEveryOne 2 года назад

    Thank you very much

  • @ariruuu1200
    @ariruuu1200 2 года назад +2

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

  • @dodavega
    @dodavega 2 года назад

    Why divide by 2 in completing the square

  • @Rangaswamy-ju3db
    @Rangaswamy-ju3db Год назад

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

  • @ClaudeDusabeyesu
    @ClaudeDusabeyesu 35 минут назад

    Thanks

  • @rehanasultana1811
    @rehanasultana1811 3 года назад

    Make more videos about quadratic equation

  • @innocentgirl6124
    @innocentgirl6124 2 года назад

    Thank you so much sir

  • @emiliasuero310
    @emiliasuero310 7 месяцев назад

    Amazing!!!!!!

  • @nishanthasubasingha6284
    @nishanthasubasingha6284 3 года назад

    Thanks for explain

  • @RadiyatosheizaAhmed
    @RadiyatosheizaAhmed 3 месяца назад

    Please sir help me with circle theorem

  • @AbaskhanAbaskhan-xv9qj
    @AbaskhanAbaskhan-xv9qj Год назад

    Thanks sir

  • @philipgueh7771
    @philipgueh7771 3 года назад

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

  • @natachaeyadi3623
    @natachaeyadi3623 6 месяцев назад +1

    If the coefficient is small, example 3.

  • @svunurainyamandi9700
    @svunurainyamandi9700 9 месяцев назад

    Was referring to factorisation!

  • @kencrerar7076
    @kencrerar7076 2 года назад

    Thanks from a dad trying to help out his boy

  • @nishanthasubasingha6284
    @nishanthasubasingha6284 3 года назад

    And also can u pl explain about plottings

  • @shreeramakrishna347
    @shreeramakrishna347 5 лет назад +1

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

  • @Rk_s12
    @Rk_s12 10 месяцев назад

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

  • @AlisonFerguson-qt8kx
    @AlisonFerguson-qt8kx 6 месяцев назад

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

  • @theophonchana5025
    @theophonchana5025 2 года назад

    #QuadraticEquation #trinomial #polynomial #factoring #factor

  • @baariiusmaail3212
    @baariiusmaail3212 2 года назад

    very good

  • @Gtyriuj
    @Gtyriuj 11 месяцев назад

    Amazing

  • @subbaraob8474
    @subbaraob8474 2 года назад

    Write 13x as 15x-2x

  • @theophonchana5025
    @theophonchana5025 2 года назад

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

  • @pritamdhinsa448
    @pritamdhinsa448 6 лет назад

    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 лет назад

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

  • @Chichiuba-y3n
    @Chichiuba-y3n 8 месяцев назад

    H^2_15h+54=0

  • @theophonchana5025
    @theophonchana5025 2 года назад

    #crossmultiply #crossmultiplication #crossmultiplying

  • @drisslahlou2726
    @drisslahlou2726 2 месяца назад

    10^2+10x+3x-3=0

  • @rsajdok
    @rsajdok 2 года назад

    On 12 minute why 13/10 disappeared?

  • @derickespejo2934
    @derickespejo2934 3 года назад

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

  • @theophonchana5025
    @theophonchana5025 2 года назад

    b^(2) - 4ac = 289

    • @kfjfkeofitorhf9520
      @kfjfkeofitorhf9520 Год назад

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

  • @theophonchana5025
    @theophonchana5025 2 года назад

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

  • @khaledalsaoub6760
    @khaledalsaoub6760 2 года назад

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

  • @moseskoro4083
    @moseskoro4083 2 года назад

    S=ut+1/2at

  • @theophonchana5025
    @theophonchana5025 2 года назад

    #binomial #linearequation

  • @hosayjalal8426
    @hosayjalal8426 2 года назад

    👌👌👌💫

  • @PratyushKhadka-e3i
    @PratyushKhadka-e3i 4 месяца назад

    The formula you used is wrong of (a+b)^2 it's a^2 +2ab+b^2

  • @theophonchana5025
    @theophonchana5025 2 года назад

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

  • @SuperYoonHo
    @SuperYoonHo 2 года назад

    good

  • @natachaeyadi3623
    @natachaeyadi3623 6 месяцев назад +1

    Wo😂😂😂 the best

  • @bbushrabshcollection816
    @bbushrabshcollection816 Месяц назад

    Lcm comes 400 not 4000