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AP EAMCET202420 May 2024Morning ShiftMathematicsQuadratic EquationActual

If the sum of two roots of x^3+p x^2+q x-5=0 is equal to its third root, then p (p^2-4 q )=

Options

  1. A-20
  2. B20
  3. C40
  4. D-40

Correct answer

C. 40

Step-by-step solution

x^3+p x^2+q x-5=0 + + =-p 2 =-p = -p 2 [ + = ] -p^3 8 + p^3 4 - p q 2 -5=0 p^3 8 + p q 2 -5=0 p (p^2-4 p q )=40

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