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.
$\left(-\frac{5}{2}\div2\right)^2=\left(-\frac{5}{4}\right)^2=\frac{25}{16}$
Introductory Algebra for College Students (7th Edition)
by Blitzer, Robert F.
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
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