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AP EAMCET202318 May 2023Morning 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

[ ( ¹⁰+ ²³ ) - 4 ]= [ (w+w^2 ) - 4 ] ( ^3=1 )= [- - 4 ]=- [ 5 4 ] ( ^2+ +1=0 )=- (- 1 2 )= 1 2

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