If \(x^2 - 4x + 1 = 0\), what is the value of \(x^3 + \frac{1}{x^3}\)?

A. 48

B. 64

C. 56

D. 52

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

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Answer: D. 52

Answer: (D) 52

Divide by x: \(x - 4 + \frac{1}{x} = 0\), so \(x + \frac{1}{x} = 4\).

\(x^3 + \frac{1}{x^3} = 4^3 - 3 \times 4 = 64 - 12 = 52\).

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

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