How to Solve Quadratic Equations using Three Methods - When Leading Coefficient is Not One
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- Опубликовано: 2 авг 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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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.
At last someone clever that knows how to explain what is regarded a bit difficult. Brilliant explanation. Thank You.
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.
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.😊❤
Thank you so much sir. I had a hard time understanding quadratic equations, but now its the easiest lesson for me....😊👍
If you see this comment, Pay attention to the work so that you don't fail your test tomorrow
My test is today I skipped the day I was learning this and now I have to pay😅
Okay thanks
Writing AS Maths test tomorrow 😢😢😢
You'll fail in flying colours
Thank youuu 😭😹
An hour of trying to understand compare to a 15 minutes video. Thank you so much, you help me a a lot sir.
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.
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.
U have to put everything in practice all time.
@@nanburponle5516 thats the only way its gon stick
the way you explain it makes solving these equations makes it so easy to understand!
very excellent explanation where even a slow leaner can get the concept very fast thank you so much
Thank u so much sir. I had a hard time understanding quadratic equations, but now its the easiest lesson for me....😊👍👏
God richly bless you sir I never understood this concept in class for a year now :)
best explanation ive seen yet. thanks!
I love 3rd method, and also love you and your approach.
💞💞💞
Excellent video tutorial! Thank you so much.🙏🏽
I just found this video and it really helped me a lot learn this in advanced!! Thank youu!!! 🙌
Thank you so much!!! This is amazing! 🤗
well explained and much appreciated.
Thank you very much sir it's very clearly understanding explanation
❤thanks very much sir, I am so grateful for your help❤
than you very much this is the best teacher i have got
I just knew there are three ways to solve the quadratic equation. Thanks
Thank you so much sir I got something reasonable here
Thanks so much ,it is been very difficult for me at school ,I think I understand a little 😊
Thanks your a lifesaver
Sir, your method of teaching is really understanding.l just wish l could send some questions which are so tricky.
Well explained... Thank you. I recall when I was a student and how interesting this subject was...
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!
Thanks, I have got a lot from you🎉🎉🎉
Thanks so much
Nice lessons sir enjoyed it
I have never understood but now i have got it💯👍
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
Very nice explanation Sir
Great video. Thanks for sharing. Let's help people with Math.
Thank you so much sir
Bravo ! Sir , help us on sequence and series please.
Thanks 👍
Wow I finally understood completing the square method
hello i really like the way you teach thank you
Thanks you sir I was having hard time with completing the square
Thank you sir
Thanks for explain
Sir you're the best
Amazing!!!!!!
Make more videos about quadratic equation
I always find completing the square amusing, when you get the horrific looking fractions like 289/400 during the working out.
I basically needed more illustrations on graphical method of solving quadratic equations
Wonderful & perfect
Amazing
😊😊😊 very nice and beautiful ❤️
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.
And also can u pl explain about plottings
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.
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
Thank you sir now l am understanding
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😃
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!
Do we have to multiply by 2 and take square always?
very good
#QuadraticEquation #trinomial #polynomial #factoring #factor
Thanks so much i was green about this but am now ok
-1/5 and 3/2 .might I'm right .cause completely confuse sir .please make sure how you did it.thanks
Was referring to factorisation!
good video
Nice, waaaooo, best teacher
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 😀
Thankyou so much sirrrrrrrrrrrrrrrr🎉 for 🎉🎉❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤csm
who are you guys on this youtube factorising 10x2 +13x -3 as (10x-2)(10x+15)?
kindly tell me which way to choose when I see a quadratic eqaution?
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😃
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.
Why we used 30=2*15 then -2 +15 and not 30=3*10 then +3+10 how to choose
thank you.
either 3 or 10 had to be negative..not both positive which is the only way to get 13 your way
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.
Pritam Dhinsa ji, you are right on. Cheers :)
Why divide by 2 in completing the square
#crossmultiply #crossmultiplication #crossmultiplying
If the coefficient is small, example 3.
What about 13÷10x ..how it is romoved
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.
Why not 3 times 10? 10+3 is 13?
Thanks from a dad trying to help out his boy
good
👌👌👌💫
Sir in your factoring 10x . 10x is 100x^
nah
Write 13x as 15x-2x
#binomial #linearequation
The formula you used is wrong of (a+b)^2 it's a^2 +2ab+b^2
how about the X method can u make video too? thanks
Wo😂😂😂 the best
S=ut+1/2at
H^2_15h+54=0
On 12 minute why 13/10 disappeared?
b^(2) - 4ac = 289
10X^2+++13X----3==0
A========B===C
13++/13^2--4(10)(3)/20
13+/169++120/20
13+/289/20
You can't leave -3 over 2 bro that's an improper fraction 😮
5x - 1 = 0
5x = 1
x = 0.2
10x - 2 = 0
10x = 2
x = 0.2
tbh, youtube teaches more than school
That is true on so many levels
2x + 3 = 0
2x = -3
x = -1.5
I do not understand anything about solving equation unnecessarily l spoil time
10x + 15 = 0
10x = -15
x = -1.5
there was a square i overlooked
Why did he not use 3 and 10 as factors of 30.
When 10*3 = 30 and 10+3 =13 ????????
because the 3 was negitive. 10 x -3 = -30 and that would not work if you used 10 and 3
cool
(2x+3)(5x-1)
10X^2-2X+15X-3
I went to my school time