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# Find all the roots of the equation z4 - 4z^3 + 6z^2 - 4z + 5 = 0 given that z_1 = i is a root.

Find all the roots of the equation z4 - 4z^3 + 6z^2 - 4z + 5 = 0 given that z_1 = i isa root.

Given equation z4 - 4z^3 + 6z^2 - 4z + 5 = 0------(1)z =i is a root.If z = i a root of the equation then z = -i is also a root to the equationHence we have two roots to the above equation i.e., z...