Answer
{$4 \pm 3\sqrt {2}$}
Work Step by Step
Given: $(x-4)^2=18$
Take the common terms out.
$(x-4)=\pm \sqrt {18}$
This can be written as:
$x=4 \pm 3\sqrt {2}$
Hence, $x=${$4 \pm 3\sqrt {2}$}
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