Find the Nonreal Complex Solutions of the Equation $9 x^{2}+5 x+5=0$

Multiple Choice

Find the nonreal complex solutions of the equation.
- $9 x^{2}+5 x+5=0$

A) $\left\{\frac{-5+\mathrm{i} \sqrt{155}}{18}, \frac{-5-\mathrm{i} \sqrt{155}}{18}\right\}$

B) $\left\{\frac{5+\mathrm{i} \sqrt{155}}{9}, \frac{5-\mathrm{i} \sqrt{155}}{9}\right\}$

C) $\left\{\frac{-5+\mathrm{i} \sqrt{155}}{9}, \frac{-5-\mathrm{i} \sqrt{155}}{9}\right\}$

D) $\left\{\frac{5+\mathrm{i} \sqrt{155}}{18}, \frac{5-\mathrm{i} \sqrt{155}}{18}\right\}$