Question

if alpha and beta are roots of quadratic equation x square + x +1=0 then find the value of alpha + beta /alphabeta
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Answer 1

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