Precalculus (6th Edition) Blitzer

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: 35

Answer

hyperbola.

Work Step by Step

Step 1. From the given equation, we have $A=23, B=26\sqrt 3, C=-3$ Step 2. Evaluate $B^2-4AC=(26\sqrt 3)^2-4(23)(-3)=2028+276=2304$ Step 3. As $B^2-4AC\gt0$, the equation represents a hyperbola.
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