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

question 34

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) \(y = - \frac { 5 } { 2 } \pm \frac { \sqrt { 38 } i } { 2 }\)

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