Re: Point of intersection

In article
<29733922.1206937493337.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx>,
*** <cheney4prez2008@xxxxxxxxx> wrote:

The parametric equations traces out a loop

x = 5 - (3/2)t^2

y = -(1/2)t^3 + 3t +2

What are the values of t at which the curve intersects itself?

hint: how can two distinct values of t give the same x value?
.