Finite Math Examples

${(x + 14)}^{2} = 10$

Step 1

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

$x + 14 = \pm \sqrt{10}$

Step 2

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

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Step 2.1

First, use the positive value of the $\pm$ to find the first solution.

$x + 14 = \sqrt{10}$

Step 2.2

Subtract $14$ from both sides of the equation.

$x = \sqrt{10} - 14$

Step 2.3

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

$x + 14 = - \sqrt{10}$

Step 2.4

Subtract $14$ from both sides of the equation.

$x = - \sqrt{10} - 14$

Step 2.5

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

$x = \sqrt{10} - 14, - \sqrt{10} - 14$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x = \sqrt{10} - 14, - \sqrt{10} - 14$

Decimal Form:

$x = - 10.83772233 \dots, - 17.16227766 \dots$