Question

Please explain the inconsistency -

Given ω = (-1+i√3)/2
Find (ω^2 - ω)^2

Answer 1

Already found the error.. XD

Answer 2

lol ok i got
- 27/4

Answer 3

Shouldn't it be (-3) ??

Answer 4

why ?

Answer 5

ω is a complex cube root of unity ; hence ω^2 will be its conjugate.

Answer 6

ω^2=(1-3-2i√3)/4
ω^2 - ω=(-3√3)/4

Answer 7

ohh lol ok ok my bad sry

Answer 8

ω^2=(1-3-2i√3)/4 = (-1 - i√3) / 2
ω^2 - ω = (-i√3)

Earlier, I missed the 'i' and hence got confused over the negative sign which I got from the following solution -
(ω^2 - ω)^2 = ω^4 + ω^2 - 2ω^3 = ω + ω^2 - 2 = -3