SOLUTION: Find the equation of an ellipse if the major axis is 8 units and the foci are (2, 3) and (2, -3).

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Question 752067: Find the equation of an ellipse if the major
axis is 8 units and the foci are (2, 3) and (2, -3).

Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Major axis is vertical based on "foci are (2, 3) and (2, -3)." The equation will be like this:
.

so meaning .

Again using foci are (2, 3) and (2, -3), .

You also see that the center of the ellipse from the focal information is at (2,0), so the equation can be seen as:
----------Almost done.

Are you aware that the relationship amoung a, b, and c, is ? Use this to find b and finish the equation.

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