## Introductory Algebra for College Students (7th Edition)

$x=\{ -3,7 \}$
Taking the square root of both sides (the Square Root Property), the solutions to the given equation, $(x-2)^2=25 ,$ are \begin{array}{l}\require{cancel} (x-2)=\pm\sqrt{25} \\\\ x-2=\pm\sqrt{(5)^2} \\\\ x-2=\pm5 \\\\ x=2\pm5 .\end{array} Hence, $x=\{ -3,7 \} .$