Find the Exact Solutions to the Quadratic Equation in the Complex

question 104

Multiple Choice

Find the exact solutions to the quadratic equation in the complex numbers.
- $$x ^ { 2 } + x + 6 = 0$$

• A) \(\frac { - 1 \pm i \sqrt { 23 } } { 2 }\)
• B) \(\frac { 1 \pm i \sqrt { 23 } } { 2 }\)
• C) \(\frac { 1 \pm \sqrt { 23 } } { 2 }\)
• D) \(\frac { - 1 \pm \sqrt { 23 } } { 2 }\)