Find the Nonreal Complex Solutions of the Equation $5 x^{2}-5 x+7=0$

Multiple Choice

Find the nonreal complex solutions of the equation.
- $5 x^{2}-5 x+7=0$

A) $\left\{\frac{5+\sqrt{115}}{10}, \frac{5-\sqrt{115}}{10}\right\}$

B) $\left\{\frac{-5+\sqrt{115}}{10}, \frac{-5-\sqrt{115}}{10}\right\}$

C) $\left\{\frac{-5+\mathrm{i} \sqrt{115}}{10}, \frac{-5-\mathrm{i} \sqrt{115}}{10}\right\}$

D) $\left\{\frac{5+\mathrm{i} \sqrt{115}}{10}, \frac{5-\mathrm{i} \sqrt{115}}{10}\right\}$