I'd usually start with an answer by taking some random complex number and square it, then take that and actually take the square to hopefully get the same answer (well, and then the other that comes up with the Fundamental Theorem of Algebra you mentioned (totally forgot that name or what the other answer's name is if there is one), so I would get a cleaner answer than sqrt(-6i+5)
Anyway, I think it's more of a whether it's an organized way of attacking whatever I'm studying or just a mess of ideas. Of course, with this rapid cycling shyt, it doesn't matter. If I'm "stable" I'm going to go up soon anyways, so I guess this isn't as reliable as sleep, increased and more impulsive drug use, and hypersexuality. Could probably use it to back it up though.