#### Answer

$x=±4i$

#### Work Step by Step

$\frac{x^{2}}{2}+5=-3$
$\frac{x^{2}}{2}=-3-5$
$\frac{x^{2}}{2}=-8$
$x^{2}=-16$
$x=±\sqrt -16$
Using $\sqrt -b = i\sqrt b$
$x=±i\sqrt 16$
$x=±4i$

Published by
Pearson

ISBN 10:
0-32178-228-3

ISBN 13:
978-0-32178-228-1

$x=±4i$

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

Update this answerAfter 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.