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AP EAMCET202022 Sep 2020Morning ShiftMathematicsComplex NumberActual

If is a complex cube root of unity, then ( ¹⁰+ ²³ ) - 4 =

Options

  1. A1 2
  2. B1 2
  3. C1
  4. D3 2

Correct answer

A. 1 2

Step-by-step solution

It is given that w is a complex cube root of unity, so w^3=1 and w^2+w+1=0 . So, (w¹⁰+w²³ ) - 4 aligned & = (w+w^2 ) - 4 & =- ( + 4 )= 4 = 1 2 aligned Hence, option (1) is correct.

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