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AP EAMCET202124 Aug 2021Evening ShiftMathematicsQuadratic EquationActual

If , and are the roots of the equation x^3-3 x^2+x+5=0 , then y= ^2+ satisfies the equation

Options

  1. Ay^3+y+2=0
  2. By^3-y^2-y-2=0
  3. Cy^3+3 y^2-y-3=0
  4. Dy^3+4 y^2+5 y+20=0

Correct answer

B. y^3-y^2-y-2=0

Step-by-step solution

Given, , and are roots of x^3-3 x^2+x+5=0 + + =3 + + =1 =-5 Now, y= ^2+ aligned & y= ( ^2+ ^2+ ^2 )+ & y=( + + )^2-2( + + )+ & y=(3)^2-2(1)-5=9-7=2 aligned y=2y=2 only satisfied the equation y^3-y^2-y-2=0

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