College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter 6 - Section 6.4 - Summary of the Conic Sections - 6.4 Exercises - Page 618: 7

Answer

Ellipse

Work Step by Step

We can see that x and y are on the power of two and there is an addition between the two. However they are not with the same coefficient, therefore the equation will be an ellipse. This given equation can be easily transformed to the general equation of an ellipse: $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$ Here, it is: $\frac{x^2}{7^2}+\frac{y^2}{10^2}=1$
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