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If z + 1 z + 1 = 0 , then z 2003 + 1 z 2003 is equal to

Options

  1. A1
  2. B− 1
  3. C0
  4. DNone of these

Correct answer

B. − 1

Step-by-step solution

Given equation can be written as z 2 + z + 1 = 0 ⇒ z = ω , ω 2 roots Now, z 2003 = ω 2003 = ω 2 z 2003 + 1 z 2003 = ω 2 + 1 ω 2 = ω 2 + ω = - 1

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