54
34
14
−34
Correct answer is A
Given, x2+x−2=0, a = 1, b = 1 and c = -2.
α+β=−ba=−11=−1
αβ=ca=−21=−2
1α2+1β2=β2+α2(αβ)2
β2+α2=(α+β)2−2αβ=(−1)2−2(−2)=1+4=5
1α2+1β2=5(−2)2=54.
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