Problem
Consider the equation: $x^{2}-16 x+63=0$ A) First, use the "completing the square" process to write this equation in the form $(x+D)^{2}=E$ and enter your results below. $x^{2}-16 x+63=0$ is equivalent to: $=$ Preview left side of eqn: B) Solve your equation and enter your answers below as a list of numbers, separated with a comma where necessary. Answer(s):
Solution
Step 1 ：\begin{align*} x^2 - 16x + 63 &= 0 \\ x^2 - 16x + 64 &= 1 \\ (x - 8)^2 &= 1 \end{align*}
Step 2 ：\begin{align*} (x - 8)^2 &= 1 \\ x - 8 &= \pm \sqrt{1} \\ x &= 8 \pm 1 \end{align*}
Step 3 ：\begin{align*} x &= 8 + 1 \\ x &= \boxed{9} \end{align*}
Step 4 ：\begin{align*} x &= 8 - 1 \\ x &= \boxed{7} \end{align*}
