If \(x - \frac{1}{x} = 3\), what is the value of \(x^2 + \frac{1}{x^2}\)?

A. 13

B. 7

C. 9

D. 11

Doubtly AI Asked 27 Oct 2026 AI-generated · not yet verified ssc cgl Save WhatsApp Report

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Answer: D. 11

Answer: (D) 11

\(x^2 + \frac{1}{x^2} = \left(x - \frac{1}{x}\right)^2 + 2 = 9 + 2 = 11\).

Note the + 2 here (it is − 2 when the sum x + 1/x is given).

Doubtly AI · 27 Oct 2026 AI-generated · not yet verified Report

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