Solve Using the Square Root Property x^2-121=0

$x^{2} - 121 = 0$

Step 1

Add $121$ to both sides of the equation.

$x^{2} = 121$

Step 2

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

$x = \pm \sqrt{121}$

Step 3

Simplify $\pm \sqrt{121}$ .

Rewrite $121$ as $11^{2}$ .

$x = \pm \sqrt{11^{2}}$

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

$x = \pm 11$

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.

$x = 11$

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

$x = - 11$

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

$x = 11, - 11$