Finite Math Examples

$r^{2} = {0.777}^{2}$

Step 1

Since the exponents are equal, the bases of the exponents on both sides of the equation must be equal.

$| r | = | 0.777 |$

Step 2

Solve for $r$ .

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Step 2.1

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$r = \pm | 0.777 |$

Step 2.2

The absolute value is the distance between a number and zero. The distance between $0$ and $0.777$ is $0.777$ .

$r = \pm 0.777$

Step 2.3

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

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Step 2.3.1

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

$r = 0.777$

Step 2.3.2

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

$r = - 0.777$

Step 2.3.3

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

$r = 0.777, - 0.777$