Solve the equation by completing the square.
-$$x ^ { 2 } + x + 2 = 0$$
A) $\left\{ \frac { 1 - \mathrm { i } \sqrt { 7 } } { 2 } , \frac { 1 + \mathrm { i } \sqrt { 7 } } { 2 } \right\}$
B) $\left\{ \frac { 1 - \sqrt { 7 } } { 2 } , \frac { 1 + \sqrt { 7 } } { 2 } \right\}$
C) $\left\{ \frac { - 1 - \sqrt { 7 } } { 2 } , \frac { - 1 + \sqrt { 7 } } { 2 } \right\}$
D) $\left\{ \frac { - 1 - \mathrm { i } \sqrt { 7 } } { 2 } , \frac { - 1 + \mathrm { i } \sqrt { 7 } } { 2 } \right\}$

Question

Quizplus · Accepted Answer

Completing the square for $x^2 + x + 2 = 0$ gives $(x + \frac{1}{2})^2 = -\frac{7}{4}$. Solving for $x$ results in complex roots $\frac{-1 \pm i\sqrt{7}}{2}$.

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

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