Solve the Equation by Completing the Square $y ^ { 2 } + 5 y + 12 = 0$

Multiple Choice

Solve the equation by completing the square. $y ^ { 2 } + 5 y + 12 = 0$

A) $y = - \frac { 5 } { 2 } \pm$ $2 \sqrt { 3 }$
B) $y = \frac { 5 } { 2 } \pm \frac { \sqrt { 23 } i } { 2 }$
C) $y = - \frac { 5 } { 2 } \pm \frac { \sqrt { 23 } i } { 2 }$
D) $y = \frac { 5 } { 2 } \pm \frac { \sqrt { 38 } i } { 2 }$
E) $y = - \frac { 5 } { 2 } \pm \frac { \sqrt { 38 } i } { 2 }$