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

[@mauriziograndi1750]

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

[@tmling9417]

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]

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.

[@magdalenasakaria6232]

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.😊❤

[@carnalea2424]

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]

U have to put everything in practice all time.

[@jaydenhall2689]

@@nanburponle5516 thats the only way its gon stick

[@llvkkkkkkk7]

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

[@marklewis4075]

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]

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

[@itxxayo3895]

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

[@MoaBoan]

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

[@ElizabethMwila-k1c]

Okay thanks

[@Sikhuliso]

Writing AS Maths test tomorrow 😢😢😢

[@emmanuelbossfx]

You'll fail in flying colours

[@KayIndie-r1i]

Thank youuu 😭😹

[@agrocassiano]

10x² + 13x - 3 = 0 X = ( - 6,5 - 8,5 ) ÷ 10 *X' = - 15/10 or - 3/2 or - 1,5* X = ( - 6,5 + 8,5 ) ÷ 10 *X" = 2/10 or 1/5 or 0,2* Parabéns Professor, sucesso sempre. 🎉🎉🎉

[@lun-f5k]

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]

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

[@marcellajanbrack]

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

[@mariarodrigo1450]

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

[@paulromsky9527]

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?

[@sameeramian1814]

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

[@govindashit6524]

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

[@brookesterling4935]

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

[@chathuranibotheju839]

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]

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

[@achotchuti]

Thanks, I have got a lot from you🎉🎉🎉

[@boytongo]

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

[@PreMath]

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!

[@Mika_.e]

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

[@aunmuhammad8297]

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

[@brendanpatterson1952]

best explanation ive seen yet. thanks!

[@ahmadkarimpour0]

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

[@shafiullah8354]

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

[@stephenmumba6353]

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

[@karenbonnetti-ramirez6264]

Excellent video tutorial! Thank you so much.🙏🏽

[@AwolalaImole]

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

[@AgyeinimBoateng-uo3dr]

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

[@lifepersonal9454]

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

[@SakabarakatOpeyemi-ms1hy]

Wow I finally understood completing the square method

[@svunurainyamandi9700]

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.

[@benbousora9455]

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

[@Yesmayo1982]

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

[@andrewau1993]

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

[@PreMath]

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]

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.

[@JosephKambeta]

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

[@ariruuu1200]

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

[@pritamdhinsa448]

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.

[@aftabwarsi2889]

Nice, waaaooo, best teacher

[@PreMath]

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 😀

[@dawon7750]

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!

[@patrickwalker9958]

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

[@WEYAULAJOHN]

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

[@olivianakakawa9094]

hello i really like the way you teach thank you

[@KoffiBossoMath]

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

[@IqbalSingh-qy2wr]

😊😊😊 very nice and beautiful ❤️

[@Rangaswamy-ju3db]

What about 13÷10x ..how it is romoved

[@cherrygomez2265]

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

[@davidicaisuomoding1102]

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

[@okellokevin761]

Wonderful & perfect

[@EfeingeSikerete]

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

[@dodavega]

Why divide by 2 in completing the square

[@channelsixtysix066]

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

[@MekoSteven-qi5pe]

Thanks so much 😊

[@nanburponle5516]

Thank you so much sir I got something reasonable here

[@Hipoooyyyyy]

Thanks teacher❤

[@RadiyatosheizaAhmed]

Please sir help me with circle theorem

[@Hamza_khan_12-v4s]

Thanks❤❤ samajh aagai

[@mathewsmwaba7294]

well explained and much appreciated.

[@antoinetteseda7424]

Thanks your a lifesaver

[@Godswill247always]

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

[@juniortecky8701]

Nice lessons sir enjoyed it

[@modeccaimukana4322]

Thanks 👍

[@makwanyawinnet648]

Thank you sir now l am understanding

[@PreMath]

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😃

[@brett54]

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.

[@mengistugebrekirstos2419]

Sir you're the best

[@krishnakantsonar1191]

Very nice explanation Sir

[@theophonchana5025]

#QuadraticEquation #trinomial #polynomial #factoring #factor

[@darin1969]

Great video!

[@nishanthasubasingha6284]

And also can u pl explain about plottings

[@Rk_s12]

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

[@informatiqueForEveryOne]

Thank you very much

[@kencrerar7076]

Thanks from a dad trying to help out his boy

[@svunurainyamandi9700]

Was referring to factorisation!

[@nehachaudhari1871]

Thank you sir

[@innocentgirl6124]

Thank you so much sir

[@Abdelfattah-hr8tt]

شكرا لك من المغرب

[@natachaeyadi3623]

Wo😂😂😂 the best

[@rehanasultana1811]

Make more videos about quadratic equation

[@philipgueh7771]

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

[@AlisonFerguson-qt8kx]

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

[@nishanthasubasingha6284]

Thanks for explain

[@AbaskhanAbaskhan-xv9qj]

Thanks sir

[@emiliasuero310]

Amazing!!!!!!

[@natachaeyadi3623]

If the coefficient is small, example 3.

[@ClaudeDusabeyesu]

Thanks

[@alidinolaghari9246]

Very nice

[@theophonchana5025]

#crossmultiply #crossmultiplication #crossmultiplying

[@derickespejo2934]

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

[@rsajdok]

On 12 minute why 13/10 disappeared?

[@sobiyamuhammadkhurram5755]

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

[@-okCat-]

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

[@pritamdhinsa448]

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]

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

[@shreeramakrishna347]

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

[@jaquelinephatudi4462]

nah

[@PratyushKhadka-e3i]

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

[@brando3023]

Brilliant

[@subbaraob8474]

Write 13x as 15x-2x

[@drisslahlou2726]

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

[@baariiusmaail3212]

very good

[@hosayjalal8426]

👌👌👌💫

[@Gtyriuj]

Amazing

[@bloxy_dev3749]

tbh, youtube teaches more than school

[@mBlaze156]

That is true on so many levels

[@leosmart7709]

Why not 10+3 and 10*3