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AP EAMCET2008MathematicsComplex Number

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

Options

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

Correct answer

A. 1 2

Step-by-step solution

Since, is a cube root of unity. aligned & ( ¹⁰+ ²³ ) - 4 & = ( + ^2 ) - 4 & = (- - 4 ) ( 1+ + ^2=0 ) & =- ( + 4 )= 4 & = 1 2 aligned

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