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

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  • Опубліковано 10 січ 2025

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  • @mauriziograndi1750
    @mauriziograndi1750 10 місяців тому +17

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

  • @tmling9417
    @tmling9417 2 роки тому +22

    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 Рік тому +29

    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.

  • @llvkkkkkkk7
    @llvkkkkkkk7 3 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.

  • @itxxayo3895
    @itxxayo3895 2 роки тому +156

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

    • @MoaBoan
      @MoaBoan Рік тому +9

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

    • @ElizabethMwila-k1c
      @ElizabethMwila-k1c 10 місяців тому +1

      Okay thanks

    • @Sikhuliso
      @Sikhuliso 10 місяців тому +1

      Writing AS Maths test tomorrow 😢😢😢

    • @emmanuelbossfx
      @emmanuelbossfx 10 місяців тому +2

      You'll fail in flying colours

    • @KayIndie-r1i
      @KayIndie-r1i 10 місяців тому +2

      Thank youuu 😭😹

  • @carnalea2424
    @carnalea2424 2 роки тому +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 Рік тому +5

      U have to put everything in practice all time.

    • @jaydenhall2689
      @jaydenhall2689 Рік тому +3

      @@nanburponle5516 thats the only way its gon stick

  • @magdalenasakaria6232
    @magdalenasakaria6232 Рік тому +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.😊❤

  • @marklewis4075
    @marklewis4075 9 місяців тому +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 4 місяці тому

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

  • @lun-f5k
    @lun-f5k 3 дні тому

    Im genuinely so thankful. Your video was easy and simple to follow. I like how you make sure to explain every step taking into consideration that not everyone is on the same page, your an excellent teacher and I look forward to future videos. Thank you so much, if it weren't for you and your videos I would be behind in class, I truly can't thank you enough.

  • @levykabole
    @levykabole 2 роки тому +4

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

  • @marcellajanbrack
    @marcellajanbrack Рік тому +2

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

  • @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....😊👍👏

  • @boytongo
    @boytongo 4 роки тому +8

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

    • @PreMath
      @PreMath  4 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!

  • @brookesterling4935
    @brookesterling4935 Рік тому

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

  • @govindashit6524
    @govindashit6524 3 роки тому +2

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

  • @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

  • @ndindapeter9711
    @ndindapeter9711 Рік тому +1

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

  • @brendanpatterson1952
    @brendanpatterson1952 Рік тому

    best explanation ive seen yet. thanks!

  • @sameeramian1814
    @sameeramian1814 16 днів тому

    If the equation cannot be simply factored at first then use the com0lete the square method. Thank you so much for your help.

  • @achotchuti
    @achotchuti 6 місяців тому +1

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

  • @Mika_.e
    @Mika_.e Рік тому

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

  • @paulromsky9527
    @paulromsky9527 4 місяці тому +1

    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?

  • @ahmadkarimpour0
    @ahmadkarimpour0 5 років тому +1

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

  • @SakabarakatOpeyemi-ms1hy
    @SakabarakatOpeyemi-ms1hy 11 місяців тому

    Wow I finally understood completing the square method

  • @karenbonnetti-ramirez6264
    @karenbonnetti-ramirez6264 9 місяців тому

    Excellent video tutorial! Thank you so much.🙏🏽

  • @lifepersonal9454
    @lifepersonal9454 2 роки тому

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

  • @JosephKambeta
    @JosephKambeta Рік тому

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

  • @AwolalaImole
    @AwolalaImole Рік тому

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

  • @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.

  • @stephenmumba6353
    @stephenmumba6353 Рік тому +1

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

  • @KoffiBossoMath
    @KoffiBossoMath 6 місяців тому

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

  • @olivianakakawa9094
    @olivianakakawa9094 Рік тому

    hello i really like the way you teach thank you

  • @aftabwarsi2889
    @aftabwarsi2889 4 роки тому +15

    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 😀

  • @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.

  • @dawon7750
    @dawon7750 Рік 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!

  • @WEYAULAJOHN
    @WEYAULAJOHN Рік тому

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

  • @svunurainyamandi9700
    @svunurainyamandi9700 11 місяців 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.

  • @davidicaisuomoding1102
    @davidicaisuomoding1102 5 років тому +4

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

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

    😊😊😊 very nice and beautiful ❤️

  • @cherrygomez2265
    @cherrygomez2265 Рік тому

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

  • @mathewsmwaba7294
    @mathewsmwaba7294 Рік тому

    well explained and much appreciated.

  • @channelsixtysix066
    @channelsixtysix066 3 роки тому +1

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

  • @krishnakantsonar1191
    @krishnakantsonar1191 2 роки тому

    Very nice explanation Sir

  • @nanburponle5516
    @nanburponle5516 Рік тому

    Thank you so much sir I got something reasonable here

  • @Hamza_khan_12-v4s
    @Hamza_khan_12-v4s Місяць тому

    Thanks❤❤ samajh aagai

  • @antoinetteseda7424
    @antoinetteseda7424 2 роки тому

    Thanks your a lifesaver

  • @patrickwalker9958
    @patrickwalker9958 2 роки тому +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

  • @Hipoooyyyyy
    @Hipoooyyyyy 3 місяці тому

    Thanks teacher❤

  • @darin1969
    @darin1969 3 місяці тому

    Great video!

  • @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

  • @mengistugebrekirstos2419
    @mengistugebrekirstos2419 Рік тому

    Sir you're the best

  • @aunmuhammad8297
    @aunmuhammad8297 9 місяців тому

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

  • @juniortecky8701
    @juniortecky8701 Рік тому

    Nice lessons sir enjoyed it

  • @andrewau1993
    @andrewau1993 4 роки тому +2

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

    • @PreMath
      @PreMath  4 роки тому +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 роки тому +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.

  • @EfeingeSikerete
    @EfeingeSikerete 2 місяці тому +1

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

  • @Godswill247always
    @Godswill247always Рік тому +2

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

  • @MekoSteven-qi5pe
    @MekoSteven-qi5pe Місяць тому

    Thanks so much 😊

  • @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😃

  • @ariruuu1200
    @ariruuu1200 3 роки тому +2

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

  • @shafiullah8354
    @shafiullah8354 2 роки тому

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

  • @kencrerar7076
    @kencrerar7076 2 роки тому

    Thanks from a dad trying to help out his boy

  • @philipgueh7771
    @philipgueh7771 3 роки тому

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

  • @brett54
    @brett54 10 місяців 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.

  • @Rk_s12
    @Rk_s12 11 місяців тому

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

  • @modeccaimukana4322
    @modeccaimukana4322 2 роки тому +1

    Thanks 👍

  • @Rangaswamy-ju3db
    @Rangaswamy-ju3db Рік тому

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

  • @theophonchana5025
    @theophonchana5025 3 роки тому

    #QuadraticEquation #trinomial #polynomial #factoring #factor

  • @Abdelfattah-hr8tt
    @Abdelfattah-hr8tt Місяць тому

    شكرا لك من المغرب

  • @AlisonFerguson-qt8kx
    @AlisonFerguson-qt8kx 7 місяців тому

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

  • @RadiyatosheizaAhmed
    @RadiyatosheizaAhmed 5 місяців тому

    Please sir help me with circle theorem

  • @informatiqueForEveryOne
    @informatiqueForEveryOne 2 роки тому

    Thank you very much

  • @innocentgirl6124
    @innocentgirl6124 2 роки тому

    Thank you so much sir

  • @nehachaudhari1871
    @nehachaudhari1871 3 роки тому +1

    Thank you sir

  • @rehanasultana1811
    @rehanasultana1811 3 роки тому

    Make more videos about quadratic equation

  • @dodavega
    @dodavega 2 роки тому

    Why divide by 2 in completing the square

  • @nishanthasubasingha6284
    @nishanthasubasingha6284 3 роки тому

    Thanks for explain

  • @nishanthasubasingha6284
    @nishanthasubasingha6284 3 роки тому

    And also can u pl explain about plottings

  • @alidinolaghari9246
    @alidinolaghari9246 27 днів тому

    Very nice

  • @natachaeyadi3623
    @natachaeyadi3623 8 місяців тому +1

    If the coefficient is small, example 3.

  • @svunurainyamandi9700
    @svunurainyamandi9700 11 місяців тому

    Was referring to factorisation!

  • @shreeramakrishna347
    @shreeramakrishna347 5 років тому +1

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

  • @emiliasuero310
    @emiliasuero310 9 місяців тому

    Amazing!!!!!!

  • @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 :)

  • @bloxy_dev3749
    @bloxy_dev3749 5 місяців тому +1

    tbh, youtube teaches more than school

    • @mBlaze156
      @mBlaze156 5 місяців тому

      That is true on so many levels

  • @derickespejo2934
    @derickespejo2934 3 роки тому

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

  • @theophonchana5025
    @theophonchana5025 3 роки тому

    #crossmultiply #crossmultiplication #crossmultiplying

  • @AbaskhanAbaskhan-xv9qj
    @AbaskhanAbaskhan-xv9qj Рік тому

    Thanks sir

  • @baariiusmaail3212
    @baariiusmaail3212 2 роки тому

    very good

  • @leosmart7709
    @leosmart7709 3 роки тому +2

    Why not 10+3 and 10*3

  • @brando3023
    @brando3023 Місяць тому

    Brilliant

  • @rsajdok
    @rsajdok 3 роки тому

    On 12 minute why 13/10 disappeared?

  • @sobiyamuhammadkhurram5755
    @sobiyamuhammadkhurram5755 2 роки тому

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

    • @-okCat-
      @-okCat- 2 роки тому

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

  • @natachaeyadi3623
    @natachaeyadi3623 8 місяців тому +1

    Wo😂😂😂 the best

  • @Gtyriuj
    @Gtyriuj Рік тому

    Amazing

  • @drisslahlou2726
    @drisslahlou2726 3 місяці тому

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

  • @ChavoMysterio
    @ChavoMysterio 4 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  4 роки тому +1

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

  • @subbaraob8474
    @subbaraob8474 2 роки тому

    Write 13x as 15x-2x

  • @theophonchana5025
    @theophonchana5025 3 роки тому

    #binomial #linearequation

  • @PratyushKhadka-e3i
    @PratyushKhadka-e3i 6 місяців тому

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

  • @ClaudeDusabeyesu
    @ClaudeDusabeyesu Місяць тому

    Thanks