QuestionFind solutions for $3 x^{2}+1=0$ in the form $a+b i$. List answers as a comma-separated list.

Studdy Solution
Finally, we can express the solutions in the form $a + bi$ by recognizing that $a =0$ and $b = \pm\sqrt{\frac{1}{3}}$.
$$x =0 \pm \sqrt{\frac{1}{3}}i$$The solutions to the equation are $0 + \sqrt{\frac{1}{3}}i$ and $0 - \sqrt{\frac{1}{3}}i$.