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Quadratic equation with complex coefficients

How can I solve x^2 - (1 + I)*x + 6 + 3*I == 0 to get answers z = 3I and z = 1 - 2I? When I enter solve(x^2 - (1 + I)x + 6 + 3I == 0, x) I get [x == -1/2sqrt(-10I - 24) + 1/2I + 1/2, x == 1/2sqrt(-10I - 24) + 1/2I + 1/2]

Quadratic equation with complex coefficients

How can I solve x^2 - (1 + I)*x + 6 + 3*I == 0 to get answers z = 3I 3*I and z = 1 - 2I? 2*I ? When I enter enter

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

I get get

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

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