Solve for c 169=c^2

$169 = c^{2}$

Step 1

Rewrite the equation as $c^{2} = 169$ .

$c^{2} = 169$

Step 2

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

$c = \pm \sqrt{169}$

Step 3

Simplify $\pm \sqrt{169}$ .

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

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

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

$c = \pm 13$

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.

$c = 13$

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

$c = - 13$

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

$c = 13, - 13$