Let α and β be two roots of the equation x^2 + 2x + 2 = 0, then α^15 + β^15 is equal to :

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Let $\alpha$ and $\beta$ be two roots of the equation $x^2 + 2x + 2 = 0,$ then $\alpha^{15} + \beta^{15}$ is equal to :

(1) 512

(2) –512

(3) 256

(4) –256