z^4 = 1.....easy to solve......got that done
hence solve:
z^4 = (z-1)^4
please advise
thanks
nb:
i attempted to solve it this way;
z^4 = 1...so
(z - 1)^4 = 1
therefore (z - 1)^2 = +-1
therefore..z - 1 = +-1, +- i
z = 0, 2, 1 + i, 1 - i
hence solve:
z^4 = (z-1)^4
please advise
thanks
nb:
i attempted to solve it this way;
z^4 = 1...so
(z - 1)^4 = 1
therefore (z - 1)^2 = +-1
therefore..z - 1 = +-1, +- i
z = 0, 2, 1 + i, 1 - i