Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 4 - Quadratic Functions - 4.4 Solving Quadratic Equations by the Square Root Property and Completing the Square - 4.4 Exercises: 17

Answer

$x=-10,2$; James forgot to include the negative square root when applying the square root property

Work Step by Step

When taking the square root of a number, you get a positive and a negative answer. James forgot to include the negative square root when applying the square root property. $27=(x+4)^2-9$ $(x+4)^2-9=27$ $(x+4)^2=36$ $x+4=6$ $x=2$ or $x+4=-6$ $x=-10$. So $x=-10,2$.
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