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AP EAMCET202018 Sep 2020Morning ShiftMathematicsQuadratic EquationActual

Which among the following equations has roots which are negatives of the roots of the equation (x^3-x^2+x-4=0 ) ?

Options

  1. A(x^3-x^2+x-4=0 )
  2. B(x^3+x^2+x+4=0 )
  3. C(x^3-x^2+x-4=0 )
  4. D(x^3-x^2-x-4=0 )

Correct answer

B. (x^3+x^2+x+4=0 )

Step-by-step solution

Let ( ) is the root of equation (x^3-x^2+x-4=0 ) Now, put ((- )=x ), so we get the required equation, and it is ( aligned & (-x)^3-(-x)^2+(-x)-4=0 & -x^3-x^2-x-4=0 & x^3+x^2+x+4=0 aligned )

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