College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 2 - Cumulative Review - Page 196: 9

Answer

$\color{blue}{x=\left\{-3i, 3i\right\}}$

Work Step by Step

Take the square root of both sides: $\sqrt{x^2} = \pm \sqrt{-9} \\x=\pm \sqrt{-9} \\x=\pm \sqrt{9(-1)} \\x=\pm \sqrt{3^2(-1)} \\x=\pm 3\sqrt{-1}$ Note that $\sqrt{-1} = i$. Thus, the equation above simplifies to: $x=\pm 3i$ Therefore, the solutions are: $\color{blue}{x=\left\{-3i, 3i\right\}}$
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.