Solve Using the Square Root Property x^2=46

$x^{2} = 46$

Step 1

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

$x = \pm \sqrt{46}$

Step 2

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.

$x = \sqrt{46}$

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

$x = - \sqrt{46}$

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

$x = \sqrt{46}, - \sqrt{46}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt{46}, - \sqrt{46}$

Decimal Form:

$x = 6.78232998 \dots, - 6.78232998 \dots$