Let II , II 2 be the roots of x^ 2 +x+1=0 , then the equation whose roots are II 31 , II…

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

Let \(\text { II }\), \(\text { II }\)2 be the roots of \(x^{2}+x+1=0\), then the equation whose roots are \(\text { II }\)31, \(\text { II }\)62 is
  1. \(\mathbf{x}^{2}-\mathbf{x}+1=0\)
  2. \(x^{2}+x-1=0\)
  3. \(\mathbf{x}^{2}+\mathbf{x}+1=0\)
  4. \(x^{60}+x^{30}+1=0\)

Answer

(A) x ^ 2 - x +1=0

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