Solve for x y=x^2+11

$y = x^{2} + 11$

Step 1

Rewrite the equation as $x^{2} + 11 = y$ .

$x^{2} + 11 = y$

Step 2

Subtract $11$ from both sides of the equation.

$x^{2} = y - 11$

Step 3

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

$x = \pm \sqrt{y - 11}$

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.

$x = \sqrt{y - 11}$

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

$x = - \sqrt{y - 11}$

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

$x = \sqrt{y - 11}$

$x = - \sqrt{y - 11}$

$x = \sqrt{y - 11}$

$x = - \sqrt{y - 11}$