Question

If 2 - 3i is a solution to the equation x3 - 3x2 + 9x + 13 = 0, what are the other roots of the equation?

Answer 1

The complex solutions come in pairs and the only difference between them is the sign between the real and imaginary part, so one of the other two solutions is
`2+3i`. The third solution can be easily found using the rational root theorem, and it's equal to -1.