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]