Question

if alpha and beta are the roots of the equation X2-2x+2=0,then the value of alpha5+beta5? a)8 b)0 c)-6 d)-8​

Answer 1

Answer:

Correct option is

B

A22AC−B2

Ax2+Bx+C=0

α+β=A−B

αβ=AC

Now it roots are α2 & β2

Then equation will be

(x−α2)(x−β2)=0

x2−xβ2−xα2+α2β2=0

x2−)(α2+β2)x+α2β2=0

x2+[−(α2+β2)]x+α2β2=0

α+β=−A−B

⇒α2+β2+2αβ=A2B

Step-by-step explanation:

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