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If the quadratic equations \[ x^2+2x-4k=0 \] and \[ x^2+9x+3k=0 \] have exactly one common root and $k\neq 0$, then the equation having $k$ as a root is

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When two polynomial equations have a common root, subtract the equations first. This usually eliminates the highest-degree terms and makes finding the common root much easier.

Updated On: Jul 29, 2026

$x^2+5x-6=0$
$x^2-6x+8=0$
$x^2-5x-6=0$
$x^2-2x-8=0$

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The Correct Option is C

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If the quadratic equations \[ x^2+2x-4k=0 \] and \[ x^2+9x+3k=0 \] have exactly one common root and \(k\neq 0\), then the equation having \(k\) as a root is

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The Correct Option is C

Solution and Explanation

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