# How do you solve the equation x^2-19=0?

Apr 26, 2017

See the solution process below:

#### Explanation:

First, add $\textcolor{red}{19}$ to each side of the equation to isolate the ${x}^{2}$ term while keeping the equation balanced:

${x}^{2} - 19 + \textcolor{red}{19} = 0 + \textcolor{red}{19}$

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

${x}^{2} = 19$

Now, take the square root of each side of the equation to solve for $x$ while keeping the equation balanced. Remember, the square root of a number produces a positive and negative result:

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

$x = \pm 4.359$ rounded to the nearest thousandth.