Solve the equation by completing the square.
-$$x ^ { 2 } + 4 x + 13 = 0$$
A) $\{ - 2 \pm \sqrt { 13 } i \}$
B) $\{ - 2 \pm 3 i \}$
C) $\{ 2 \pm 3 \mathrm { i } \}$
D) $\{ 1 , - 5 \}$

Question

Quizplus · Accepted Answer

To complete the square, rewrite the equation as $x^2 + 4x = -13$. Add $(4/2)^2 = 4$ to both sides to get $(x+2)^2 = -9$. Thus, $x+2 = \pm 3i$, giving solutions $x = -2 \pm 3i$.

Solve the Equation by Completing the Square x2+4x+13=0x ^ { 2 } + 4 x + 13 = 0x2+4x+13=0

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