Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 3 - Linear and Quadratic Functions - 3.3 Quadratic Functions and Their Properties - 3.3 Assess Your Understanding - Page 145: 3

Answer

$\frac{25}{4}$.

Work Step by Step

To complete the square of $x^2+bx$ we must add $\left(\frac{b}{2}\right)^2$. With $b=-5$, then to complete the square, we must add $\left(\frac{5}{2}\right)^2=\frac{25}{4}$.
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