If \( x^{2}-x+1=0 \), then the value of \( \sum_{n=1}^{5}\left(x^{n}+\frac{1}{x^{n}}\right)^{2} ...

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If \( x^{2}-x+1=0 \), then the value of \( \sum_{n=1}^{5}\left(x^{n}+\frac{1}{x^{n}}\right)^{2} \), is
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