Solve Using the Square Root Property x^2+35=105

$x^{2} + 35 = 105$

Step 1

Move all terms not containing $x$ to the right side of the equation.

Subtract $35$ from both sides of the equation.

$x^{2} = 105 - 35$

Subtract $35$ from $105$ .

$x^{2} = 70$

Step 2

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

$x = \pm \sqrt{70}$

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.

$x = \sqrt{70}$

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

$x = - \sqrt{70}$

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

$x = \sqrt{70}, - \sqrt{70}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt{70}, - \sqrt{70}$

Decimal Form:

$x = 8.36660026 \dots, - 8.36660026 \dots$