Find the Exact Solutions to the Quadratic Equation in the Complex

Multiple Choice

Find the exact solutions to the quadratic equation in the complex numbers.
- $$x ^ { 2 } + x + 6 = 0$$

A) $\frac { - 1 \pm i \sqrt { 23 } } { 2 }$
B) $\frac { 1 \pm i \sqrt { 23 } } { 2 }$
C) $\frac { 1 \pm \sqrt { 23 } } { 2 }$
D) $\frac { - 1 \pm \sqrt { 23 } } { 2 }$