Question

If alpha and beta be the roots of the equation x^2 - px +q = 0 and a>0,3 > 0, then find the value of alpha^5 + beta^5. TRY TO ANSWER THIS...I WILL MARK U AS BRAINLIEST ​

Answer 1

Step-by-step explanation:

α,β are the roots of x

2

+px+p

3

=0

(α+β)=−p ...(i)

(αβ)=p

3

...(ii)

Since the point (α,β) lies on the parabola y

2

=x, therefore β

2

=α ...(iii)

Solving equations (ii) and (iii), we get β

3

=p

3

⇒β=p and solving equation (i) and (iii), we get p

2

=−2p⇒p=−2.

Therefore, α=4 & β=−2.