Solve for x (x^2)/25=36

$\frac{x^{2}}{25} = 36$

Step 1

Multiply both sides of the equation by $25$ .

$25 \frac{x^{2}}{25} = 25 \cdot 36$

Step 2

Simplify both sides of the equation.

Simplify the left side.

Cancel the common factor of $25$ .

Cancel the common factor.

$25 \frac{x^{2}}{25} = 25 \cdot 36$

Rewrite the expression.

$x^{2} = 25 \cdot 36$

Simplify the right side.

Multiply $25$ by $36$ .

$x^{2} = 900$

Step 3

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

$x = \pm \sqrt{900}$

Step 4

Simplify $\pm \sqrt{900}$ .

Rewrite $900$ as $30^{2}$ .

$x = \pm \sqrt{30^{2}}$

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

$x = \pm 30$

Step 5

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.

$x = 30$

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

$x = - 30$

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

$x = 30, - 30$