Solve Using the Square Root Property x^2-144=0

$x^{2} - 144 = 0$

Step 1

Add $144$ to both sides of the equation.

$x^{2} = 144$

Step 2

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

$x = \pm \sqrt{144}$

Step 3

Simplify $\pm \sqrt{144}$ .

Rewrite $144$ as $12^{2}$ .

$x = \pm \sqrt{12^{2}}$

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

$x = \pm 12$

Step 4

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.

$x = 12$

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

$x = - 12$

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

$x = 12, - 12$