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Multiple choice

This equation $(x-5)^{11}+(x-5^{2})^{11}+....+(x-5^{11})^{11}=0$ has

  1. all the roots real

  2. one real and 10 imaginary roots

  3. real roots namely $x=5,5^{2}....,5^{9},5^{10},5^{11}$
  4. none

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