,

Set up the parametric equation for to solve the equation for .

Rewrite the equation as .

Subtract from both sides of the equation.

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

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.

Replace in the equation for to get the equation in terms of .

Eliminate the Parameter x=t^2+3 , y=t^2-2