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
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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
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Verified answer
[tex]\huge\sf\fbox\purple{ ★ Solution ★}[/tex]
°°° 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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