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AP EAMCET202022 Sep 2020Morning ShiftMathematicsQuadratic EquationActual

If , , and are the roots of the equation x^4+3 x^3-6 x^2+2 x-4=0 , then find the equation having roots 1 , 1 , 1 and 1

Options

  1. A4 x^4-2 x^3+6 x^2-3 x-1=0
  2. B4 x^4+2 x^3-6 x^2+3 x+1=0
  3. C4 x^4-2 x^3+6 x^2-3 x+1=0
  4. D4 x^4-2 x^3+6 x^2+3 x-1=0

Correct answer

A. 4 x^4-2 x^3+6 x^2-3 x-1=0

Step-by-step solution

It is given that the equation x^4+3 x^3-6 x^2+2 x-4=0 having roots , , and , then equation having roots 1 , 1 , 1 and 1 can be obtained by replacing x by 1 x in given equation, so required equation is 4 x^4-2 x^3+6 x^2-3 x-1=0

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