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$x^{2} + 8 x + 24$

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Solution

$x^{2} + 8 x + 24$
$x^{2} + 2 \times 4 x + 16 + 8$
$\Rightarrow (x + 4)^{2} + 8$

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- 24 = - 8 x

x^{2} + 8 x + 16

x^{2} - 8 x + 16 = 0

x^{2} + 8 x + 16 = 0

\int \frac{d x}{x^{2} + 8 x + 20}

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