Solve: ${(x - 4)}^{2} - {(x + 4)}^{2} = 48$ .

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-3

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Solution

The correct option is C -3
$(x - 4)^{2} - (x + 4)^{2} = (x - 4 - x - 4) (x - 4 + x + 4)$
$= - 8 (2 x)$
$\Rightarrow - 16 x = 48$
$\Rightarrow x = - 3$

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