1. The problem statement, all variables and given/known data curve1: x=5t^2-3, y=9t+2 curve2: x=8t^2-12, y=7t+4 find points of collision or intersection, if any 2. Relevant equations see above 3. The attempt at a solution I set the x functions or both curves equal to each other and got t=+/- sqrt(3) I did the same with the y functions and got t=1. I guess that this shows that there is no collision, but how do I tell if they intersect or not? I graphed this on my calc, and there seems to be an intersection, but how do I solve for it?