Solve for x x^2=28

$x^{2} = 28$

Step 1

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

$x = \pm \sqrt{28}$

Step 2

Simplify $\pm \sqrt{28}$ .

Rewrite $28$ as $2^{2} \cdot 7$ .

Factor $4$ out of $28$ .

$x = \pm \sqrt{4 (7)}$

Rewrite $4$ as $2^{2}$ .

$x = \pm \sqrt{2^{2} \cdot 7}$

Pull terms out from under the radical.

$x = \pm 2 \sqrt{7}$

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.

$x = 2 \sqrt{7}$

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

$x = - 2 \sqrt{7}$

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

$x = 2 \sqrt{7}, - 2 \sqrt{7}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = 2 \sqrt{7}, - 2 \sqrt{7}$

Decimal Form:

$x = 5.29150262 \dots, - 5.29150262 \dots$