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1. $x^{4} - x^{2} + 1 = 0$

Answer: Option C

Explanation:

x^{4} - x^{2} + 1 = 0 \Rightarrow x^{4} + 1 = x^{2} \Rightarrow \frac{x^{4} + 1}{x^{2}} = 1 \Rightarrow \frac{x^{4}}{x^{2}} + \frac{1}{x^{2}} = 1 \Rightarrow x^{2} + \frac{1}{x^{2}} = 1

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