Answer
$0\pm\frac{\sqrt{3}}{3}i$
Work Step by Step
$3x^{2}+1=0$
$3x^{2}=-1$
$x^{2}=-\frac{1}{3}$
$x=\pm\sqrt{-\frac{1}{3}}=\pm\sqrt{-\frac{3}{9}}=\pm\frac{\sqrt{3}}{3}i$
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.