Solve the following quadratic equation by factorisation method : \(25m^2 = 9\)

Q.2 (B)(iv) Solve the following quadratic equation by factorisation method : \(25m^2 = 9\)

Doubtly Asked 25 Oct 2026 ssc 10th Save WhatsApp Report

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Answer: \(m = \dfrac{3}{5}\) or \(m = -\dfrac{3}{5}\)

\(25m^2 - 9 = 0\)

\((5m)^2 - 3^2 = 0\)

\((5m - 3)(5m + 3) = 0\)

So \(5m - 3 = 0\) or \(5m + 3 = 0\), giving \(m = \dfrac{3}{5}\) or \(m = -\dfrac{3}{5}\).

Doubtly AI · 25 Oct 2026 AI-verified · Oct 2026 Report

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