Question

Solve for x in the equation

Answer 1

`\large\boxed{x=6\pm3√(10)}`

Explanation:

`x^2-12x+36=90\\\\x^2-2(x)(6)+6^2=90\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-6)^2=90\iff x-6=\pm√(90)\\\\x-6=\pm√(9\cdot10)\\\\x-6=\pm\sqrt9\cdot√(10)\\\\x-6=\pm3√(10)\qquad\text{add 6 to both sides}\\\\x=6\pm3√(10)`