Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 9 - Section 9.1 - Solving Quadratic Equations by the Square Root Property - Exercise Set: 32

Answer

$x=\left\{ -7,3 \right\} $

Work Step by Step

The left side of the given equation, $ x^2+4x+4=25 ,$ is a perfect square trinomial whose factored form is \begin{array}{l}\require{cancel} (x+2)^2=25 .\end{array} Taking the square root of both sides (the Square Root Property), the solutions to the given equation are \begin{array}{l}\require{cancel} x+2=\pm\sqrt{25} \\\\ x+2=\pm\sqrt{(5)^2} \\\\ x=-2\pm5 .\end{array} Hence, $ x=\left\{ -7,3 \right\} .$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.