Brain works 4

Algebra Level 4

\[\large\left(x+\dfrac{1}{x}\right)^2 + \left(x^2+\dfrac{1}{x^2} \right)^2 +\ldots.+ \left(x^{27}+\dfrac{1}{x^{27} }\right)^2\]

If \(x^2+x+1=0\), what is the value of the expression above?

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