Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Section 9.2 - Solving Quadratic Equations by Completing the Square - Concept and Vocabulary Check - Page 638: 4

Answer

$-\frac{25}{16}$

Work Step by Step

The coefficient of x is $-\frac{5}{2}$. Adding the square of half the coefficient creates a perfect square. $(-\frac{5}{2}\div2)^2=(-\frac{5}{4})^2=-\frac{25}{16}$
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