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Both the ellipse and the hyperbola has an x squared and a y squared term. In the ellipse, they are both positive. In the hyperbola, one of them is negative.

Example:

3x^2 /36 + 5y^2 / 64 = 1 (ellipse)

3x^2 / 36 - 5y^2 / 64 = 1 (hyperbola)

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Q: The major difference between the equation for a hyperbola and for an ellipse is the operation performed?
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