Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 11 - Section 11.1 - Solving Quadratic Equations by Completing the Square - Exercise Set: 21

Answer

$x=\frac{1}{3}\pm\frac{4}{3}i$

Work Step by Step

$(3x-1)^2=-16$ Use the square root property. $\sqrt(3x-1)^2=\pm\sqrt-16$ $3x-1=\pm4i$ The square root of a negative number yields a complex number, denoted as, $i$. $3x=\pm4i+1$ $x=\frac{1}{3}\pm\frac{4}{3}i$
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.