# How do you solve the equation x^2-3=a?

##### 1 Answer
Nov 7, 2017

See a solution process below:

#### Explanation:

First, add $\textcolor{red}{3}$ to each side of the equation to isolate the $x$ term while keeping the equation balanced:

${x}^{2} - 3 + \textcolor{red}{3} = a + \textcolor{red}{3}$

${x}^{2} - 0 = a + 3$

${x}^{2} = a + 3$

Now, take the square root of each side of the equation to solve for $x$ while keeping the equation balanced:

$\sqrt{{x}^{2}} = \pm \sqrt{a + 3}$

$x = \pm \sqrt{a + 3}$