Answer
Ellipse
Work Step by Step
Given: $2x^{2}+5y^{2}=10$
Divide by $10$.
$\frac{x^{2}}{(\sqrt 5)^{2}}+\frac{y^{2}}{(\sqrt 2)^{2}}=1$
which is the standard form of the equation of a Ellipse.
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Appendix C - Graphs of Second-Degree Equations - C Exercises - Page A23: 22
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