Find the minimum value of the expression $x^{2} + 6 x + 5$ .

- 3

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- 4

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4

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none of these

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Solution

The correct option is B $- 4$
Given the expression
$x^{2} + 6 x + 5$
$= x^{2} + 2. x .3 + 3^{2} + 5 - 9$
$= (x + 3)^{2} - 4$

The minimum value of $(x + 3)^{2}$ is $0$ as $(x + 3^{2}) \geq 0$ .
So the minimum value of the expression is $- 4$ .

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