if alpha,beta are roots of x^2+x+1=0, then
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4
Answer:
Sum of the roots α+β=−(−1)=1
product of the roots αβ=1
α
3
+β
3
=(α+β)
3
−3αβ(α+β)
=(1)
3
−3×1(1)
=1−3=−2
∴α
3
+β
3
=−2
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