Q.
If α,β are the roots of x2+x−2=0, then α3β+αβ3 =
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a
9
b
10
c
−10
d
−9
answer is C.
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Detailed Solution
The given equation is x2+x−2=0 α,β are the given rootsSum of the roots : α+β=−1, Product of the roots : αβ=−2 ∴α3β+αβ3=αβ(α2+β2) =αβ[(α+β)2−2αβ] =−2(1+4)=−10
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