Answer
$9x^2+25y^2+80x-100=0$, Ellipse.
Work Step by Step
$r=\frac{10}{5+4cos\theta}$, $5r+4r\ cos\theta=10$,
$5r=10-4r\ cos\theta$, $25r^2=(10-4r\ cos\theta)^2$,
$25x^2+25y^2=(10-4x)^2$,
$9x^2+25y^2+80x-100=0$,
Ellipse.
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 - Section 9.6 Polar Equations of Conics - 9.6 Assess Your Understanding - Page 704: 28
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