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Linear Equation in One Variable

Given the fun...

Question

Given the function $h$ such that $h (x) = x^{2} + k x + 5$ and $h (3) = 2$ . Find the value of $k$ .

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Solution

Given, $h (x) = x^{2} + k x + 5, h (3) = 2$
Thus $h (3) = 3^{2} + k (3) + 5$
$\Rightarrow 2 = 14 + 3 k$
$\Rightarrow 3 k = - 12 \Rightarrow k = - 4$

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