Question

now, write ( x^2 - 16x + 64 = -8 ) as

Explanation:

Step1: Recognize perfect square trinomial

The left-hand side $x^2 - 16x + 64$ is a perfect square trinomial, which factors to $(x-8)^2$, since $(a-b)^2=a^2-2ab+b^2$ where $a=x$, $b=8$, and $2ab=16x$.

Step2: Rewrite the equation

Substitute the factored form into the original equation.
$$(x-8)^2 = -8$$

Answer:

$\boldsymbol{(x-8)^2 = -8}$