Solve for y y^2=x^2

$y^{2} = x^{2}$

Step 1

Since the exponents are equal, the bases of the exponents on both sides of the equation must be equal.

$| y | = | x |$

Step 2

Solve for $y$ .

Remove the absolute value term. This creates a $\pm$ on the right side of the equation because $| x | = \pm x$ .

$y = \pm | x |$

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.

$y = | x |$

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

$y = - | x |$

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

$y = | x |$

$y = - | x |$

$y = | x |$

$y = - | x |$

$y = | x |$

$y = - | x |$