Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 10 - Section 10.2 - The Ellipse and the Hyperbola - Exercise Set - Page 617: 6

Answer

Ellipse

Work Step by Step

The difference between the equation of an ellipse and a hyperbola is the following: Ellipse formula: $\frac{x^2}{a}+\frac{y^2}{b} = 1$ Hyperbola formula: $\frac{x^2}{a}-\frac{y^2}{b} = 1$ The ellipse formula has two positive terms while the hyperbola formula has one positive term and one negative term. Using this observation, we get this equation to be an ellipse.
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