Complex NumbersHard

Question

If x2 + x + 1 = 0, then the numerical value of
+.......+ is equal to

Options

A.54
B.36
C.27
D.18

Solution


there are 9 term which have ω3p.
so sum 9 × 4 = 36
there are 18 term which not have ω3p
so sum is = 18
total sum = 18 + 36 = 54

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