Sum of the roots of a quadratic equation is double their product. Find k if equation is x^2 - 4kx + k + 3 = 0

Doubtly Asked 24 Oct 2026 Save WhatsApp Report

1 answer

Answer: \(k = 3\)

Here \(a = 1, b = -4k, c = k + 3\).

Sum of roots \(= -\frac{b}{a} = 4k\); product \(= \frac{c}{a} = k + 3\).

\[4k = 2(k + 3)\]\[4k = 2k + 6\]\[k = 3\]

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

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