Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 9 Quadratic Relations and Conic Sections - 9.6 Translate and Classify Conic Sections - 9.6 Exercises - Skill Practice - Page 656: 36


Option B

Work Step by Step

Given $4x^2+y^2+32x-10y+85=0$ We can see that $a=4\\b=0\\c=1$ We will find the discriminant of the given equation $=b^2-4ac\\=0^2-4(4)(1)\\=-16$ Since $-16\lt0$ and $a\ne c$, the conic section is an Ellipse.
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