Answer
$x=-1$
Work Step by Step
Simplify $\dfrac{2}{x+2}+\dfrac{4}{x-2}=\dfrac{x-1}{x^2-4}$
Thus, $\dfrac{2}{x+2}+\dfrac{4}{x-2}=\dfrac{x-1}{(x+2)(x-2)}$
or, $2(x-2)+4(x+2)=(x-1)(1)$
or, $2x-4+4x+8=x-1$
or,$5x =-5$
Hence, $x=-1$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 10 - Section 10.2 - The Ellipse - Exercise Set - Page 780: 69
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