Solve for x y=x^2-5

$y = x^{2} - 5$

Step 1

Rewrite the equation as $x^{2} - 5 = y$ .

$x^{2} - 5 = y$

Step 2

Add $5$ to both sides of the equation.

$x^{2} = y + 5$

Step 3

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

$x = \pm \sqrt{y + 5}$

Step 4

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

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

$x = \sqrt{y + 5}$

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

$x = - \sqrt{y + 5}$

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

$x = \sqrt{y + 5}$

$x = - \sqrt{y + 5}$

$x = \sqrt{y + 5}$

$x = - \sqrt{y + 5}$