# How do you solve (x - 3)^2 = 25?

Apr 13, 2016

$\implies x = 8 \mathmr{and} x = - 2$

#### Explanation:

Take the square root of both sides giving

$\sqrt{{\left(x - 3\right)}^{2}} = \pm \sqrt{25}$

Technically it should be $\pm \sqrt{{\left(x - 3\right)}^{2}} = \pm \sqrt{25}$

But the same answer would be obtained by

$\sqrt{{\left(x - 3\right)}^{2}} = \pm \sqrt{25}$

$\implies x - 3 = \pm 5$

$\implies x = 3 \pm 5$

$\implies x = 8 \mathmr{and} x = - 2$