Solve for X X^2=8^2+15^2

$X^{2} = 8^{2} + 15^{2}$

Step 1

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

$X = \pm \sqrt{8^{2} + 15^{2}}$

Step 2

Simplify $\pm \sqrt{8^{2} + 15^{2}}$ .

Raise $8$ to the power of $2$ .

$X = \pm \sqrt{64 + 15^{2}}$

Raise $15$ to the power of $2$ .

$X = \pm \sqrt{64 + 225}$

Add $64$ and $225$ .

$X = \pm \sqrt{289}$

Rewrite $289$ as $17^{2}$ .

$X = \pm \sqrt{17^{2}}$

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

$X = \pm 17$

Step 3

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.

$X = 17$

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

$X = - 17$

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

$X = 17, - 17$