Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 8 - Section 8.1 - The Square Root Property and Completing the Square - Exercise Set - Page 595: 93

Answer

$x^2 + 6x$ Determine the coefficient of the x-term, which in this example is $6$. Half of $6$ is $3$, and $3^2$ is $9$. Thus, add $9$ to both sides of the equation to complete the square: $x^2 + 6x+9 = 0 + 9$ $(x +3)^2 = 9$

Work Step by Step

$x^2 + 6x$ Determine the coefficient of the x-term, which in this example is $6$. Half of $6$ is $3$, and $3^2$ is $9$. Thus, add $9$ to both sides of the equation to complete the square: $x^2 + 6x+9 = 0 + 9$ $(x +3)^2 = 9$
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