Find the Real Solutions, If Any, of the Equation $$\mathrm { x } ^ { 2 } + \mathrm { x } + 2 = 0$$

Multiple Choice

Find the real solutions, if any, of the equation. Use the quadratic formula.
- $$\mathrm { x } ^ { 2 } + \mathrm { x } + 2 = 0$$

A) $\left\{ \frac { - 1 - \sqrt { 7 } } { 2 } , \frac { - 1 + \sqrt { 7 } } { 2 } \right\}$
B) $\left\{ \frac { 1 - \sqrt { 7 } } { 2 } , \frac { 1 + \sqrt { 7 } } { 2 } \right\}$
C) $\left\{ \frac { - 1 - \sqrt { 7 } } { 2 } , \frac { 1 + \sqrt { 7 } } { 2 } \right\}$
D) no real solution