Math Help - Cartesian Formula

1. Cartesian Formula

I need a cartesian formula for the parametric equations:
x=t^2+1
y=t^2-t

2. Originally Posted by anon12345
I need a cartesian formula for the parametric equations:
x=t^2+1 .... (1)
y=t^2-t .... (2)
From (1): $t = \pm \sqrt{x - 1}$

From (2): $0 = t^2 - t - y \Rightarrow t = \frac{1 \pm \sqrt{1 - 4y}}{2}$ using the quadratic formula.

Therefore $\pm \sqrt{x - 1} = \frac{1 \pm \sqrt{1 - 4y}}{2}$

etc.

3. I've already determined that y=x-2t from subtracting the 2 equations however that is not a cartesian representation because of the t.

4. Originally Posted by anon12345
I've already determined that y=x-2t from subtracting the 2 equations however that is not a cartesian representation because of the t.
Sorry, I misread the question. I've edited my reply. Please take another look.