Teaching DSSSB TGT Mock Test 2025 Mathematics Complex Numbers

If ω ≠ 1 is a cube root of unity, then what are the solutions of (z - 100)3 + 1000 = 0 ? 

1
10(1 - ω), 10(10 - ω2), 100
2
10(10 - ω), 10(10 - ω2), 90
3
10(1 - ω), 10(10 - ω2), 1000
4
(1 + ω), (10 + ω2), -1
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