Answer
$ \frac{25}{4}$
Work Step by Step
To form a perfect square, we have:
$x^2+5x+(\frac{5}{2})^2=(x+\frac{5}{2})^2$,
thus we need to add $(\frac{5}{2})^2=\frac{25}{4}$
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 9.4 The Hyperbola - 9.4 Assess Your Understanding - Page 689: 2
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