Question

solve $x^2 = 13$, where $x$ is a real number. simplify your answer as much as possible. if there is more than one solution, separate them with commas. if there is no solution, click
o solution.\ $x = \square$

Explanation:

Step1: Apply square root to both sides

To solve the equation \(x^2 = 13\) for \(x\), we take the square root of both sides. Remember that when we take the square root of a number, we get both a positive and a negative solution because \((\sqrt{a})^2=a\) and \((-\sqrt{a})^2 = a\) for \(a\geq0\). So, taking the square root of both sides of \(x^2=13\) gives us \(x=\pm\sqrt{13}\).

Answer:

\(-\sqrt{13}, \sqrt{13}\)