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If $α & β$ are non-real roots of $x^{3} - x^{2} - x - 2 = 0$ then $α^{2020} + β^{2020} + α^{2020} . β^{2020} =___$

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2020

– 1

$1 + α + β$

answer is C.

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Detailed Solution

$α = w & β = w^{2} w h e r e w = \frac{- 1 + i \sqrt{3}}{2}$

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