Find the roots of $x^{2} - 2 x - 15 = 0$ .

{- 3, 5}

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{3, 5}

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{- 3, - 5}

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None of these

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Solution

The correct option is B ${- 3, 5}$
$x^{2} - 2 x - 15 = 0$
$\Rightarrow$ $x^{2} - 5 x + 3 x - 15 = 0$
$\Rightarrow$ $x (x - 5) + 3 (x - 5) = 0$
$\Rightarrow$ $(x - 5) (x + 3) = 0$
$\Rightarrow$ $x - 5 = 0$ and $x + 3 = 0$
$\Rightarrow$ $x = 5$ and $x = - 3$
$\Rightarrow$ $x = {- 3, 5}$

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