Solve the equation for all values of x in simplest form: (x-7)^2=36

To solve the equation $(x-7)^{2}=36$, we can start by taking the square root of both sides of the equation:<br /><br />$\sqrt{(x-7)^{2}} = \sqrt{36}$<br /><br />This simplifies to:<br /><br />$x-7 = \pm 6$<br /><br />Now, we can solve for $x$ by adding 7 to both sides of the equation:<br /><br />$x = 7 \pm 6$<br /><br />So, the solutions to the equation are:<br /><br />$x = 13$ and $x = 1$