Answer
hyperbola
Work Step by Step
Move $x^{2}$ and $y^{2}$ to the same side
$3(x-1)^{2}-2(y+1)^{2}=6$
Analysis:
$x^{2}$ and $y^{2}$ terms are different signs on the same side therefore equation is a hyperbola
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
Published by
Brooks Cole
ISBN 10:
1-28505-709-0
ISBN 13:
978-1-28505-709-5
Chapter 10 - Conics, Parametric Equations, and Polar Coordinates - 10.1 Exercises - Page 693: 57
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