Complex Numbers is the last topic in the J2 syllabus. And there's a reason why they put it there. You're pushing the fabric of reality as far as it gets already, so its best not to fool around with this one.
Remember when they said you can't root a negative number? All stickmen I drew within a few cm of the question died in a few seconds suffering from insanity.
On a side note, I'm still trying to figure out if this is good or bad...haha.
On a side side note, Mugalomaniac registered a whopping a 142 hits on the 4th of July, all thanks to you guys! Happy Post-Independence Day!