Number of common roots of the equations and z^ 1985 +z^ 100 +1=0 , z being a complex…

Mathematics · JEE Advanced · NTA ExamsComplex Numbers and Quadratic Equations

Number of common roots of the equations and \(z^{1985}+z^{100}+1=0\), z being a complex number, is
  1. 0
  2. 1
  3. 2
  4. 3

Answer

(C) 2

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