Answer
$\frac{1}{(x-1)^2+2^2}$
Work Step by Step
$\frac{1}{x^2-2x+5}=\frac{1}{x^2-2(1)x+1^2-1^2+5}=\frac{1}{(x-1)^2+4}=\frac{1}{(x-1)^2+2^2}$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 1 - 1.4 - Quadratic Equations and Applications - 1.4 Exercises - Page 110: 43
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