Intersections of a Line and a Parabola: Solving for t

[olivia333]

Homework Statement

Consider the line L(t)=<1+5t, 3+t>. Then L intersects:
1. The x-axis at the point (-14,0) when t= -3
2. the y-axis at the point (0, 14/5) when t=(-1/5)
3. the parabola y=x^2 at the points ____ and ____ when t=____ and ____.

Homework Equations

y=x^2?

The Attempt at a Solution

I really have no idea what this is asking. I tried setting y = x^2 so (3+t) = (1+5t)^2 with the results of (110/50) and (272/50) but it didn't work. I really have no idea what it's asking. I'm sure it's a very simple problem because this is number 2/16 on my homework and I've already gotten all the others correct (including #1 and #2 of this problem), I just need a little push in the right direction.
Thanks!

 

[Dick]

I think you are doing the right thing. But you are getting the wrong solutions for t. Unfortunately, when I work it out I get a pretty messy solution for the two values of t. Can you show how you solved it?

 

[olivia333]

NEVER MINE I figured it out... basic algebra problem it works now!