Quadratic Equations IIT Questions No 05 ( X Class)

A quadratic equation is an equation in the form of ax^2 + bx + c = 0, where x is the variable and a, b, and c are constants. Quadratic equations can be solved using various methods such as factoring, completing the square, or using the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a. The solutions to a quadratic equation are known as the roots and are represented by x1 and x2.

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# IIT Fundation

[itx_nitin]

If this is a JEE question then I am the math professor from IIT Bombay 💀

[rajivsharma]

As a person from Cartoon I can confirm this is IIT Dholakpur question

[tggamers]

POV ur finding a solution of your maths doubt and this comes up

[sarthaksingh]

This question is from IIT YouTube shorts...😂 😂 😂

[Pers.aryann]

α²+2 = 3α
α²-3α+2 = 0
α²-2α-α+2 = 0
α(α-2) - 1(α-2) = 0
(α-1)(α-2) = 0

α = 1 and 2
Similarly, β = 1 and 2

Since α ≠ β
So, We have to take (α = 1 and β = 2) or (α = 2 and β = 1)

α²β+αβ² = αβ(α+β)
= 1×2(1+2) = 2 × 3
= 6

[chirayuop]

Bhai ye end mein kon agya aur ye kya street level KBC tha 😂😂

[creepynights]

Guys even though question was easy and direct he gave the answer so quickly without any written work appreciate that

[Itsnotdark_]

The standard form of a quadratic equation is ax²+bx+c=0
In the equation x²-3x+2=0
a= 1, b=(-3), c=2
Here we consider the roots of the equation to be α and β
Sum of roots = -b/a
i.e, α+β= -b/a
= -(-3)/1
= 3/1
= 3
Product of roots = c/a
i.e, αβ= c/a
= 2/1
= 2
Now,
α²β+αβ² = αβ(α+β)
= 2 (3)
= 6
And If you are wondering that how the equation x²-3x+2=0 came, then replace α and β in both the equations with x
You'll get x²+2= 3x and then bring 3x to LHS you'll get
x²-3x+2=0.

[shantanumishra]

he was not even listening her questions 😂🤣 he just started solving in his mind when he got the answer

[AdityaKumar-gvdj]

6, solved it in seconds as the participant, those who are feeling how he solved it in mind, it is really easy, the roots comes out easily to be 1 and 2. And then apply it, it comes to be 6.

[vegas_nanto]

For those who are wondering how fast the participant gave the answer,
It's simple - he already knew (scripted)

[FundamSrijan]

" you are absolutely right to this QUESTON " ☠️☠️☠️

[killogamer]

α²+2=3α
α²-3α+2=0
On compairing from ax²+bx+c
We get, a=1, b=-3, c=2
So, (α+β) = -b/a
-(-3) /1
(α+β) = 3
(αβ) = c/a
= 2/1
= 2
So, α²β+αβ² =?
we take αβ common
then, αβ(α+β)
then, we put he value of
α+β, αβ
We get,
2(3)
=6
Ans.

[conwisdom_]

this question is from class 10th rd sharma 😅

[adrito_talukdar]

If this is JEE Question then I have already completed my PhD 💀

[Om_patil]

I cannot solve this on my notebook
Hats off to this boy

[Noor-slep]

I solved with a pen and paper because in iraq we usually dont focus on studying such a thing. But it's really impressive how fast he was.

[AmanDubey]

I was searching for JEE ADVANCED Integration pyqs
And this came up 💀

[IWTalks]

I am iit jee student. And I definitely predicts that this question is not from iit jee exams. The level of questions made by the great iit phd professor are very difficult minded
.. see the people made those papers are very difficult on international level even iit jee exam is India's no.1 exam. Worlds 2nd tough exam. By uploading these types of reels you will create question on iit jee position in perspective of world. So for your kind information if iit jee questions are easy then solve it once in 3hrs. And as your content viewer i will suggest you to delete these types of reel.

[ADARSHJHA]

When amitabh bacchan don't want to give you 7 crore 😅