1.

If A = {x ϵ Z : x3 – 1 = 0} and B = {x ϵ Z: x2 + x + 1= 0}, where Z is set of complex numbers, then what is A ∩ B equal to?

A. Null set
B. \(\left\{ {\frac{{ - 12 + \sqrt 3 i}}{2},\frac{{ - 1 - \sqrt 3 i}}{2}} \right\}\)
C. \(\left\{ {\frac{{ - 1 + \sqrt 3 i}}{4},\frac{{ - 1 - \sqrt 3 i}}{4}} \right\}\)
D. \(\left\{ {\frac{{-1 + \sqrt 3 i}}{2},\frac{{-1 - \sqrt 3 i}}{2}} \right\}\)
Answer» E.


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