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Zeroes of a Polynomial

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Question

Find the roots of equation $x^{2} - 3 x - 10 = 0$ .

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Solution

$x^{2} - 3 x - 10 = 0$

$\Rightarrow x^{2} - 5 x + 2 x - 10 = 0$

$\Rightarrow (x - 5) (x + 2) = 0$

$\Rightarrow x = 5, - 2$

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