SOLUTION: an ellipse x^2/(4c^2) + y^2/(c^2) = 1 and a circle x^2 + y ^2 = 9a^2 cuts at 4 points. then the relation between a and c is

SOLUTION: an ellipse x^2/(4c^2) + y^2/(c^2) = 1 and a circle x^2 + y ^2 = 9a^2 cuts at 4 points. then the relation between a and c is

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Question 739209: an ellipse x^2/(4c^2) + y^2/(c^2) = 1 and a circle x^2 + y ^2 = 9a^2 cuts at 4 points. then the relation between a and c is
Answer by josgarithmetic(39627) (Show Source): You can put this solution on YOUR website!
Any way you do this will require an x or a y staying involved. I tried solving the ellipse for y^2, and substituted this into the circle equation; and solved for a.

This result gave .

You could try solving for x^2 first, and do similarly.
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