Question

now that you have $x^2 - 8x + 16 = 9 + 16$, apply the square root property to the equation.

Explanation:

Step1: Simplify both sides

Left side: $x^2-8x+16=(x-4)^2$; Right side: $9+16=25$
Expression: $(x-4)^2=25$

Step2: Apply square root property

Take square root of both sides, account for $\pm$
Expression: $x-4=\pm\sqrt{25}$

Step3: Simplify square root

Calculate $\sqrt{25}=5$
Expression: $x-4=\pm5$

Answer:

$x-4=5$ or $x-4=-5$ (or combined as $x-4=\pm5$)