# How do you solve x^2-2=17?

Feb 17, 2017

See the entire solution process below:

#### Explanation:

First, add $\textcolor{red}{2}$ to each side of the equation to isolate ${x}^{2}$ while keeping the equation balanced:

${x}^{2} - 2 + \textcolor{red}{2} = 17 + \textcolor{red}{2}$

${x}^{2} - 0 = 19$

${x}^{2} = 19$

Now, take the square root of each side of the equation to solve for $x$ while keeping the equation balanced. Also remember, the square root of a number has both a negative and positive answer:

$\sqrt{{x}^{2}} = \pm \sqrt{19}$

$x = \pm \sqrt{19} = \pm 4.359$ rounded to the nearest thousandth.