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**domenfrandolic** OK..so basically...at the beginning of the task i had to obtain solutions by moivre's theorem for the equation z^n=1...find a pattern...so i came up with the conjecture that works for it..it was quite easy....now...i am stuck in obtaining solutions to solve Z^n=i for n=3,4,5 by using moivre's theorem...it says...represent the solutions on the argand diagram and the generalize and prove your result for z^n=a+bi, where |a+bi|=1...finally..what happens when |a+bi|≠1..this is the whole task..but is quite ridiculous...the teacher is gonna mark it...and does not care much....and it will count for the final mark...dont really know how to do it...thanks that you are here..