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KVPY2017MathematicsQuadratic Equation

The sum of all non-integer roots of the equation x⁵-6 x⁴+11 x³-5 x²-3 x+2=0 is

Options

  1. A6
  2. B-11
  3. C-5
  4. D3

Correct answer

D. 3

Step-by-step solution

(x-1)(x-2) (x³-3 x+1 )=0 Required sum of roots =3

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