Common root of $x^{2} + x - 6 = 0, x^{2} + 3 x - 10 = 0$ is:

-2

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-3

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-5

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Solution

The correct option is A 2
Let the common factor be $x - k$ then,
$k^{2} + k - 6 = k^{2} + 3 k - 10$
$4 = 2 k$
$\Rightarrow k = 2$
$∴$ The common root is $2$

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