Question

The greatest number of possible real solutions that a system of two distinct ellipses could have is ??? solutions. (Assume that they are NOT the same size.)

Answer 1

...2? i think?

Answer 2

ya. 2

Answer 3

You can have at most 4. Take a look at the attached and you'll see 4 distinct intersections between the blue and red ellipses.

Answer 4

whoops. i was thinking circles :(

Answer 5

Thanks anyways. The answer was 4. :D