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AP EAMCET202421 May 2024Morning ShiftMathematicsQuadratic EquationActual

The algebraic equation of degree 4 whose roots are the translates of the roots of the equation x^4+5 x^3+6 x^2+7 x+9=0 by -1 is

Options

  1. Ax^4+x^3-3 x^2+6 x+4=0
  2. Bx^4+9 x^3+27 x^2+38 x+28=0
  3. Cx^4+5 x^3+6 x^2+7 x+9=0
  4. Dx^4-5 x^3+6 x^2-7 x+9=0

Correct answer

B. x^4+9 x^3+27 x^2+38 x+28=0

Step-by-step solution

aligned & Replacing ' x ' by (x+1) we get, & =(x+1)^4+5(x+1)^3+6(x+1)^2+3(x+1)+9 & x^4+9 x^3+27 x^2+38 x+28=0 aligned

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