Question

Resolva a equação $x^{2} - 6x + 9 = 16$ utilizando o método da fatoração.

Answer 1

$x^{2} - 6x + 9 = 16\to\\\\ x^{2} - 6x + 9 - 16=0\to\\\\ x^{2} - 6x -7=0\to\\\\\\ (x+1)(x-7)=0\to\\\\\\ x+1=0\to~~\boxed{x=-1}\\\\ x-7=0\to~~\boxed{x=7}\\\\\\\\ \large\boxed{\boxed{S=\{-1~;~7\}}}$