Determine whether the values given against the quadratic equation are the roots of the equation: 2m^2 - 5m = 0, m = 2, 5/2

Determine whether the values given against the quadratic equation are the roots of the equation: \(2m^2 - 5m = 0\), \(m = 2, \frac{5}{2}\)

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

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Answer: \(\frac{5}{2}\) is a root; 2 is not a root.

\(m = 2\): \(2(4) - 5(2) = 8 - 10 = -2 \neq 0\). So 2 is not a root.

\(m = \frac{5}{2}\): \(2\left(\frac{25}{4}\right) - 5\left(\frac{5}{2}\right) = \frac{25}{2} - \frac{25}{2} = 0\). So \(\frac{5}{2}\) is a root.

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

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