If \(\alpha\) and \(\beta\) are the roots of \(x^2 - 5x + 3 = 0\), then \(\alpha^2 + \beta^2 = \)

A. \(25\)

B. \(31\)

C. \(22\)

D. \(19\)

Doubtly AI Asked 24 Oct 2026 AI-verified · Oct 2026 ssc 10th Save WhatsApp Report

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Best answer

Answer: D. \(19\)

\(\alpha + \beta = 5\), \(\alpha\beta = 3\). \(\alpha^2 + \beta^2 = (\alpha + \beta)^2 - 2\alpha\beta = 25 - 6 = 19\).

Doubtly AI · 24 Oct 2026 AI-verified · Oct 2026 Report

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