If \( x^{2}+x+1=0 \), then the numerical value of \( \left(x+\frac{... VIDEO
If \( x^{2}+x+1=0 \), then the numerical value of \( \left(x+\frac{1}{x}\right)^{2}+\left(x^{2}+\frac{1}{x^{2}}\right)^{2}+\left(x^{3}+\frac{1}{x^{3}}\right)^{2}+\left(x^{4}+\frac{1}{x^{4}}\right)^{2}+\ldots \ldots+\left(x^{27}+\frac{1}{x^{27}}\right)^{2} \) is equal to
\( \mathrm{P} \)
W
(A) 54
(B) 36
(C) 27
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