College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 1 - Equations and Inequalities - Exercise Set 1.5 - Page 160: 53


$x=-2-\sqrt 3,-2+\sqrt 3$

Work Step by Step

To complete the square, add a term that is the square of half the coefficient of $x$ to both sides of the equation, and factor the left side. Then use the square root property to simplify both sides, and then isolate $x$. $x^2+4x+1=0$ $(\frac{4}{2})^2=(2)^2$ $x^2+4x+1-1+(2)^2=-1+(2)^2$ $x^2+4x+(2)^2=-1+(2)^2$ $x^2+4x+4=-1+4$ $x^2+4x+4=3$ $(x+2)^2=3$ $x+2=±\sqrt 3$ $x=-2±\sqrt 3$ $x=-2-\sqrt 3,-2+\sqrt 3$
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.