Solve Using the Square Root Property x^2=361

$x^{2} = 361$

Take the square root of both sides of the equation to eliminate the exponent on the left side.

$x = \pm \sqrt{361}$

Simplify $\pm \sqrt{361}$ .

Rewrite $361$ as $19^{2}$ .

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

Pull terms out from under the radical, assuming positive real numbers.

$x = \pm 19$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$x = 19$

Next, use the negative value of the $\pm$ to find the second solution.

$x = - 19$

The complete solution is the result of both the positive and negative portions of the solution.

$x = 19, - 19$