Solve the Equation by Completing the Square $$x ^ { 2 } + 4 x + 13 = 0$$

Multiple Choice

Solve the equation by completing the square.
- $$x ^ { 2 } + 4 x + 13 = 0$$

A) $\{ 2 \pm 3 i \}$
B) $\{ 1 , - 5 \}$
C) $\{ - 2 \pm \sqrt { 13 } \}$
D) $\{ - 2 \pm 3 i \}$