Determine the roots of the equation by using the quadratic formula.
[tex]\begin{gathered} x=\frac{-30\pm\sqrt[]{(30)^2-4\cdot9\cdot29}}{2\cdot9} \\ =\frac{-30\pm\sqrt[]{900-1044}}{18} \\ =\frac{-30\pm\sqrt[]{-144}}{18} \\ =\frac{-30\pm12i}{18} \\ =-\frac{30}{18}\pm\frac{12i}{18} \\ =-\frac{5}{3}\pm\frac{2}{3}i \end{gathered}[/tex]
Thus roots of the equation are,
[tex]-\frac{5}{3}+\frac{2}{3}i[/tex]
and
[tex]-\frac{5}{3}-\frac{2}{3}i[/tex]
