Solve for y 2x=y^2

$2 x = y^{2}$

Step 1

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

$y^{2} = 2 x$

Step 2

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

$y = \pm \sqrt{2 x}$

Step 3

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.

$y = \sqrt{2 x}$

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

$y = - \sqrt{2 x}$

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

$y = \sqrt{2 x}$

$y = - \sqrt{2 x}$

$y = \sqrt{2 x}$

$y = - \sqrt{2 x}$