Mathematics · Complex Numbers
If ω ≠ 1 is a cube root of unity, then what are the solutions of (z - 100)3 + 1000 = 0?
- 1(1 + ω), (10 + ω2), -1
- 210(1 - ω), 10(10 - ω2), 1000
- 310(10 - ω), 10(10 - ω2), 90✓
- 410(1 - ω), 10(10 - ω2), 100
Correct answer
10(10 - ω), 10(10 - ω2), 90
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