Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 2 - Linear and Quadratic Functions - Section 2.4 Properties of Quadratic Functions - 2.4 Assess Your Understanding - Page 157: 3

Answer

$\dfrac{25}{4}$

Work Step by Step

To complete the square of $x^2+bx$, we must add $(\dfrac{b}{2})^2$. We can see that $b=-5$. So, to complete the square, we must add $(\dfrac{b}{2})^2=(\dfrac{-5}{2})^2=\dfrac{25}{4}$. Therefore, the missing term in the given statement is: $\bf{\dfrac{25}{4}}$.
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