Question

(x-5)^2+2=11 solve by using square roots.

Answer 1

Answer:  x = 2 or x = 8

Work Shown:

$(x-5)^2+2=11\\\\(x-5)^2=11-2\\\\(x-5)^2=9\\\\x-5=\pm\sqrt{9}\\\\x-5=\pm3\\\\x=5\pm3\\\\x=5+3 \text{ or } x = 5-3\\\\x=8 \text{ or } x = 2$