Correct Answer: Option A

Explanation

Given \(p = x - \frac{1}{x}\); \(q = x^2 + \frac{1}{x^2}\).

\(p^2 = (x - \frac{1}{x})(x - \frac{1}{x})\)

\(p^2 = x^2 + \frac{1}{x^2} - 2\)

\(p^2 = q - 2 \implies q = p^2 + 2\)

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