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Oct17-11, 06:00 AM
P: 31
I'm just making sure I got this. So, the reason a number can have n nth roots when using complex numbers is because of the way that i is defined? So, if one defined some other different k, would it be possible to find say n+1 nth roots? I guess my question is: does the fact that the polynomial x^n - c =0 has n roots, something that holds true independent of the way complex numbers are defined?