# Quadratic equation with complex coefficients

How can I solve `x^2 - (1 + I)*x + 6 + 3*I == 0`

to get answers `z = 3*I`

and `z = 1 - 2*I`

? When I enter

```
solve(x^2 - (1 + I)*x + 6 + 3*I == 0, x)
```

I get

```
[x == -1/2*sqrt(-10*I - 24) + 1/2*I + 1/2, x == 1/2*sqrt(-10*I - 24) + 1/2*I + 1/2]
```