If $x^{2} + 10 x = 24,$ where $x > 0$ , then the value of $x + 5$ is

7

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5

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- 12

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2

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Solution

The correct option is A $7$

$x^{2} + 10 x - 24 = 0$
$x^{2} + 12 x - 2 x - 24 = 0$

On factoring we get,

$(x - 2) (x + 12) = 0$

$x = 2, x = - 12$

Condition: $x > 0$ , then the value of $x + 5$ is $2 + 5 = 7$ .

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