The difference of the irrational roots of the equation $x^5-5 x^4+9 x^3-9 x^2+5 x-1=0$ is

The difference of the irrational roots of the equation $x^5-5 x^4+9 x^3-9 x^2+5 x-1=0$ is
  1. $\sqrt{3}$
  2. $2 \sqrt{5}$
  3. $3$
  4. $\sqrt{5}$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (25 Apr Shift 1)

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