Answer
parabola.
Work Step by Step
Given $x^2-6xy+9y^2+2x-3y=0$, we can find $A=1, B=-6, C=9$, thus $B^2-4AC=36-4(1)(9)=0$ which mean that the conic is a parabola.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 9 - Analytic Geometry - Chapter Test - Page 720: 9
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