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Mathematics, 26.03.2021 14:00 recannon02

Let a, b, c be complex numbers such that the Im (c) = 0, Im(b) does not=0, Im(a) does not =0. Suppose that a^4=b^4=c, a does not = b and Re(a) does not equal Re(b) Is the answer
a) z^2- c = (z-a)(z-b)
b) z^4- c = (z - a)(z-b)(z - a*) (z - b*) where a* and b* are conjugates of a and b, respectively.
c)
z^4- c = (z - a)^2(z-b)^2

d)
z^3- c = (z - a)(z-b)(z-c)

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