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If α , β ∈ C are the distinct roots of the equation x 2 - x + 1 = 0 , then α 101 + β 107 is equal to

Options

  1. A2
  2. B- 1
  3. C0
  4. D1

Correct answer

D. 1

Step-by-step solution

x 2 - x + 1 = 0 Roots are - ω ,   - ω 2 α 101 + β 107 = - ω 101 + - ω 2 107 = - ω 2 - ω = 1

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