Basic Math Examples

$318.27 = {(1 + r)}^{2}$

Step 1

Rewrite the equation as ${(1 + r)}^{2} = 318.27$ .

${(1 + r)}^{2} = 318.27$

Step 2

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

$1 + r = \pm \sqrt{318.27}$

Step 3

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

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Step 3.1

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

$1 + r = \sqrt{318.27}$

Step 3.2

Subtract $1$ from both sides of the equation.

$r = \sqrt{318.27} - 1$

Step 3.3

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

$1 + r = - \sqrt{318.27}$

Step 3.4

Subtract $1$ from both sides of the equation.

$r = - \sqrt{318.27} - 1$

Step 3.5

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

$r = \sqrt{318.27} - 1, - \sqrt{318.27} - 1$

Step 4

The result can be shown in multiple forms.

Exact Form:

$r = \sqrt{318.27} - 1, - \sqrt{318.27} - 1$

Decimal Form:

$r = 16.84012331 \dots, - 18.84012331 \dots$