QuestionSolve the equation $x^{2}+3 x+8=0$ and express solutions as $a+b i$. Provide answers as a comma-separated list.

Studdy Solution
Express the solution in the form $a + bi$.
$$x = -\frac{3}{2} + \frac{i\sqrt{23}}{2}, -\frac{3}{2} - \frac{i\sqrt{23}}{2}$$So, the solutions of the equation are $x = -\frac{3}{2} + \frac{i\sqrt{23}}{2}$ and $x = -\frac{3}{2} - \frac{i\sqrt{23}}{2}$.