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NDA2021MathematicsComplex NumberActual

If x^2+x+1=0 , then what is the value of x¹⁹⁹+x²⁰⁰+x²⁰¹ ?

Options

  1. A-1
  2. B0
  3. C1
  4. D3

Correct answer

B. 0

Step-by-step solution

aligned & Given that x^2+x+1=0 & x¹⁹⁹+x²⁰⁰+x²⁰¹=x¹⁹⁹+x¹⁹⁹ x+x¹⁹⁹ x^2 & =x¹⁹⁹ [1+x+x^2 ]=x¹⁹⁹ 0=0 aligned

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