Let II and be the roots of the equation x ^ 2 + x +1=0 . The equation whose roots are x^…

Mathematics · JEE Main · NTA ExamsComplex Numbers and Quadratic Equations

Let \(\text { II }\) and \(\beta\) be the roots of the equation \(\mathbf{x}^{2}+\mathbf{x}+1=0\). The equation whose roots are \(x^{19}, \beta^{7}\) is
  1. \(x^{2}-x-1=0\)
  2. \(\mathbf{x}^{2}-\mathbf{x}+1=0\)
  3. \(x^{2}+x-1=0\)
  4. \(\mathbf{x}^{2}+\mathbf{x}+1=0\)

Answer

(D) x ^ 2 + x +1=0

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