Answer
An ellipse or a circle.
Work Step by Step
Step 1. From the given equation, we have
$A=5, B=-2, C=5$
Step 2. Evaluate
$B^2-4AC=(-2)^2-4(5)(5)=4-100=-96$
Step 3. As $B^2-4AC\lt0$, the equation represents an ellipse or a circle.
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 9 - Section 9.4 - Rotation of Axes - Exercise Set - Page 1010: 31
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