Subtract from both sides of the equation.

Multiply each term in by .

Multiply .

Multiply by .

Multiply by .

Simplify each term.

Multiply by .

Multiply .

Multiply by .

Multiply by .

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

Simplify the right side of the equation.

Simplify the expression.

Rewrite as .

Reorder and .

Since both terms are perfect squares, factor using the difference of squares formula, where and .

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

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

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

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

Solve for y x^2-y^2=1