Finite Math Examples

$x^{2} + {(y - 5)}^{2} = 12$

Step 1

Subtract $x^{2}$ from both sides of the equation.

${(y - 5)}^{2} = 12 - x^{2}$

Step 2

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

$y - 5 = \pm \sqrt{12 - x^{2}}$

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.

$y - 5 = \sqrt{12 - x^{2}}$

Step 3.2

Add $5$ to both sides of the equation.

$y = \sqrt{12 - x^{2}} + 5$

Step 3.3

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

$y - 5 = - \sqrt{12 - x^{2}}$

Step 3.4

Add $5$ to both sides of the equation.

$y = - \sqrt{12 - x^{2}} + 5$

Step 3.5

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

$y = \sqrt{12 - x^{2}} + 5$

$y = - \sqrt{12 - x^{2}} + 5$

$y = \sqrt{12 - x^{2}} + 5$

$y = - \sqrt{12 - x^{2}} + 5$