The value of a for which the sum of the squares of the roots of the equation x^2 - (a- 2)x -a-1= 0

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