SOLUTION: Hello....I have just a couple of questions. Actually, two questions in one. What is the maximum number of intersections of the graphs of an ellipse and a parabola? An ellipse

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Question 147644: Hello....I have just a couple of questions. Actually, two questions in one.
What is the maximum number of intersections of the graphs of an ellipse and a parabola? An ellipse and a hyperbola?
Thank you very much!
Answer by Edwin McCravy(6935) About Me  (Show Source):
You can put this solution on YOUR website!
Hello....I have just a couple of questions. Actually, two questions in one.
What is the maximum number of intersections of the graphs of an ellipse and a parabola?
drawing%28200%2C400%2C-5%2C5%2C-10%2C10%2C%0D%0A%0D%0Agraph%28200%2C400%2C-5%2C5%2C-10%2C10%2C+sqrt%2840-6x%5E2%29%29%2C%0D%0Agraph%28200%2C400%2C-5%2C5%2C-10%2C10%2C+3x%5E2-9%29%2C%0D%0Agraph%28200%2C400%2C-5%2C5%2C-10%2C10%2C+-sqrt%2840-6x%5E2%29%29+%29
See, these cross in 4 points.
An ellipse and a hyperbola?
drawing%28200%2C400%2C-5%2C5%2C-10%2C10%2C%0D%0A%0D%0Agraph%28200%2C400%2C-5%2C5%2C-10%2C10%2C+sqrt%28-40%2B6x%5E2%29%29%2C%0D%0Agraph%28200%2C400%2C-5%2C5%2C-10%2C10%2Csqrt%28%2864-4x%5E2%29%2F16%29%29%2C%0D%0Agraph%28200%2C400%2C-5%2C5%2C-10%2C10%2C+-sqrt%28-40%2B6x%5E2%29+%29%2C%0D%0Agraph%28200%2C400%2C-5%2C5%2C-10%2C10%2C-sqrt%28%2864-4x%5E2%29%2F16%29%29+%29
Also 4.
Thank you very much!
You're welcome.
Edwin