Finite Math Examples

$y = {(x - 1)}^{2} - 4$

Step 1

Rewrite the equation as ${(x - 1)}^{2} - 4 = y$ .

${(x - 1)}^{2} - 4 = y$

Step 2

Add $4$ to both sides of the equation.

${(x - 1)}^{2} = y + 4$

Step 3

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

$x - 1 = \pm \sqrt{y + 4}$

Step 4

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

Tap for more steps...

Step 4.1

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

$x - 1 = \sqrt{y + 4}$

Step 4.2

Add $1$ to both sides of the equation.

$x = \sqrt{y + 4} + 1$

Step 4.3

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

$x - 1 = - \sqrt{y + 4}$

Step 4.4

Add $1$ to both sides of the equation.

$x = - \sqrt{y + 4} + 1$

Step 4.5

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

$x = \sqrt{y + 4} + 1$

$x = - \sqrt{y + 4} + 1$

$x = \sqrt{y + 4} + 1$

$x = - \sqrt{y + 4} + 1$