Question

(x-2)^2 -5 =11
Solve quadratic function with square roots

Answer 1

first subtract 11 from both sides:

we get (x-2)^2-16

16=4^2

use difference of squares:
a^2-b^2=(a+b)*(a-b)

a=x-2
b=4

substitute:
(x+2)*(x-6)=0
equal both ( ) to 0:
x+2=0
x-6=0 solve each equation and it will be your roots