Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Vocabulary and Readiness Check: 6

Answer

$(\frac{b}{2})^2$

Work Step by Step

To solve $x^2+bx=c$ by completing the square, our first step would be to take half of the coefficient of the b term, square it, and add it to both sides. In this case, we are shown a general example. $(\frac{1}{2}\cdot b)^2=(\frac{b}{2})^2$ $x^2+bx+(\frac{b}{2})^2=c+(\frac{b}{2})^2$ Therefore, we would have to add $(\frac{b}{2})^2$.
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