2015 again

Algebra Level 3

Let xx be a non-real number that satisfy the equation x4=1x^{4}=1. Find the value of ∑n=02015(xn+1xn)\displaystyle \sum_{n=0}^{2015} \left (x^{n}+\frac{1}{x^{n}} \right).

Hjalmar Orellana Soto by Hjalmar Orellana Soto
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