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

$x=\{-2,8\}$
"The difference between a number and 3" is written as $x-3$. The equation can be written as: $(x-3)^2=25$ Take the square root of each side. $\sqrt{(x-3)^2}=\sqrt{25}$ Simplify. $x-3=\pm5$ Add 3 to each side. $x-3+3=\pm5+3$ Simplify $x=5+3$ or $x=-5+3$ $x=8$ or $x=-2$ State as a solution set. $x=\{-2,8\}$