Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 11 - Quadratic Functions and Equations - 11.3 Studying Solutions of Quadratic Equations - 11.3 Exercise Set - Page 718: 32

Answer

$x^{2}+10x+25=0$

Work Step by Step

$ x=-5\qquad$...add $5$ to both sides. $ x+5=0\qquad$....square both sides. $(x+5)^{2}=0\qquad$....simplify using the perfect square formula $(A\pm B)^{2}=A^{2}\pm 2AB+B^{2}$ $x^{2}+10x+25=0$
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