Answer
The Conic is an Ellipse
Work Step by Step
We are given the equation $x^{2} - 2xy + 3y^{2} = 8$
Discriminant: $b^{2} - 4ac$
Given $b = 2, a=1, c=3$
$2^{2} - 4\times1\times3 = -8$
Because $-8 \lt 0$ and $A \ne C$, the Conic is an ellipse.
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 11 - Section 11.5 - Rotation of Axes - 11.5 Exercises - Page 823: 30
Update this answer!
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.
