I'm trying to find when that parametric curve intersects with the line x=20
x(t)=(2t^3)/(t^2-1) ; y(t)=(2t^3)/((t^2+1)^2)
The Attempt at a Solution
I tried representing the line as y=t ; x=20
35=2t^3/(t^2-1) ; t=2t^3/((t^2+1)^2)
I also ended up with this equation:
but solving for it did not end up with the answers I expect to have. The y-values should be between 0 and 1.
Solving for t in terms of x, then plugging into the y(t) equation resulted in imaginary numbers. So how do you find the 2 intersections?
note: I need the answers by tonight. Thank you!