Answer
$$q=\sqrt{2},\:q=-\sqrt{2}$$
Work Step by Step
Solving the equation, we find:
$$ 2+\frac{1}{q+1}-\frac{1}{q-1}=0 \\ 2\left(q+1\right)\left(q-1\right)+q-1-\left(q+1\right)=0 \\ q=\sqrt{2},\:q=-\sqrt{2}$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 3 - Quadratic Functions - Exercises for Skills for Factoring - Page 135: 88
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