For what value of $k$ is $x^{2} + k x + 9 = (x + 3)^{2}$ ?

0

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3

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6

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9

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Solution

The correct option is C $6$
Consider $x^{2} + k x + 9 = (x + 3)^{2}$ and solve as shown below:
$\Rightarrow x^{2} + k x + 9 = (x^{2} + 6 x + 9)$
Now comparing the coefficients of $x$ and $x^{2}$ , we get $k = 6$ .
Hence, option $C$ is correct.

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