Answer
$x=9$ and $x=7$
Work Step by Step
The given equation is
$\Rightarrow (x-8)^2=1$
Square root each side.
$\Rightarrow x-8=\pm1$
Add $8$ to each side.
$\Rightarrow x-8+8=8\pm1$
Simplify.
$\Rightarrow x=8\pm1$
Hence, the solutions are $x=8+1=9$ and $x=8-1=7$.
