Question

como resolvo isso x²+12x-12=1 utilizando o metodo de completar quadrado?

Answer 1

$x^2+12x-12=1\\x^2+12x=1+12\\x^2+12x=13\\x^2+12x+6^2=13+6^2\\ \\x^2+12x+6^2=49\\ \\(x+6)^2=49\\ \\ \sqrt{(x+6)^2}= \sqrt{49} \\ \\x+6=\pm7\\ \\\boxed{x=-6\pm7}$