Question

Solve the Perfect Square Trinomial Expression.x2 – 16x + 64-

Answer 1

we have the expression

$x^2-16x+64$

Complete the square

$\begin{gathered} (x^2-16x)+64=0 \\ (x^2-16x+8^2-8^2)+64 \\ (x^2-16x+8^2)+64-8^2 \\ rewrite\text{ as perfect square} \\ (x-8)^2 \end{gathered}$