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1. $x + \frac{1}{x} = 4$

Answer: Option B

Explanation:

x^{4} + \frac{1}{x^{4}} = {(x^{2} + \frac{1}{x^{2}})}^{2} - 2 . x^{2} . \frac{1}{x^{2}} = {\{{(x + \frac{1}{x})}^{2} 2 . x . \frac{1}{x}\}}^{2} - 2 = {(16 - 2)}^{2} - 2 = 196 - 2 = 194

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