Quadratic Sum mini algebra

Algebra Level 3

If x2x+1=0 x^{2}-x+1=0, then find the value of (x1x)2+a=12015(xa+1xa)2\left ( x-\frac{1}{x} \right )^{2}+\sum_{a=1}^{2015} \left ( x^a+\frac{1}{x^a} \right )^{2}

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