# Need help with conic intersection algebra

## Homework Statement

Find intersection points of the following.(Conics are centered to origin)

Circle = x^2+y^2=4, Ellipse = (x^2/4)+(y^2/9) = 1

## The Attempt at a Solution

So far I have this. (BTW I know the solutions are (-2,0) and (2,0) but I'm still unsure how to get there step by step).

(x^2/4)+(y^2/4) = (x^2/4)+(y^2/9)= 1

What's the next step?

Dick
Homework Helper
If you have (x^2/4)+(y^2/4) = (x^2/4)+(y^2/9) what do you get if you subtract (x^2/4) from each side?

Oh ok, so the answer is 5y^2=1?

Dick
Homework Helper
Oh ok, so the answer is 5y^2=1?

Why would you get that? Reread my last post.

I'm not sure exactly how to solve this, but I would look at the vertices of the ellipse and the radius of the circle

hey cacophony , just plot the two graphs and you will see the intersection

Mark44
Mentor
hey cacophony , just plot the two graphs and you will see the intersection
But that will probably not help the OP in identifying the intersection points, which is what the problem asks him/her to do.