Question

if a and b are zeroes of t he polynomial f(x)=x2 -5x+2,then find the value of a/b+1/b -3 ab

Answer 1

$\huge\sf\fbox\purple{ ★ Solution ★}$

°°° Explanation °°°

Verified by Toppr

f(x)=3x2−5x−2

α+β=35,αβ=3−2

Given, βα2+αβ2

=αβα3+β3

=αβ(α+β)(α2+β2−αβ)

=αβ(α+β)∫(α+β)2−3αβ

=−2/3(35)(925+2.)

=2−5(943)=16−215

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