Question

What are the roots of the equation 3x^2+x+1=0 In the simplest a+bi form?

Answer 1

@vocaloid or @hero
Please, help.

Answer 2

Do you know how to solve the quadratic equations?

Answer 3

\[3x^2+x+1=0\]
\[x=\frac{ -1\pm \sqrt{1^2-4*3*1} }{ 2*3}\]
\[x=\frac{ -1 \pm \sqrt{11} \iota }{ 2\times 3}\]
\[x=\frac{ -1 }{ 6 }+\frac{ \sqrt{11} }{ 6 } \iota ~and~x=\frac{ -1 }{ 6 }-\frac{ \sqrt{11} }{ 6}\iota \]