Is there a clean way to solve this problem: "Find the equation of an ellipse with these properties: vertices: (0, + or - 5); passes through point (4,2)"

Question

anonymous · Answer

Sorry, hyperbolas is the next section in my book. With no knowledge of them, do you know if there is a simple-ish way to solve the problem?

anonymous · Answer

http://answers.yahoo.com/question/index?qid=20100417133658AA0g670 Found a way to do it; it isn't so bad.

anonymous · Answer

Coordinate of vertices of ellipse are given by:

$$(0, \pm b)$$

Can you tell me what is b here??

anonymous · Answer

5

anonymous · Answer

Thanks, now I know how to do it.