Solve Using the Square Root Property X^2=169

$X^{2} = 169$

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

$X = \pm \sqrt{169}$

Simplify $\pm \sqrt{169}$ .

Rewrite $169$ as $13^{2}$ .

$X = \pm \sqrt{13^{2}}$

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

$X = \pm 13$

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.

$X = 13$

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

$X = - 13$

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

$X = 13, - 13$