Answer
hyperbola.
Work Step by Step
As the equation contains both $x^2$ and $y^2$ terms with opposite signs, the equation is a hyperbola. In terms of the coefficients, we have $A=1, C=-4$ and $AC=-4\lt0$; thus the equation is a hyperbola.
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 - Mid-Chapter Check Point - Page 1000: 14
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