How did you get the roots? Im a bit rusty with complex numbers, but you've lost me.
I cannot get the same answer as you.
here is what ive done:
m^2 + 3m + 5 = 0
so
(m+3/2)^2 = -11/4
so
m = -3/2 + or - sqrt(-11/4)
m = -3/2 + or - (11i/4)
How did you get m= -3/2 + or - 2i?