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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

The condition that the root of x^3 + 3px^2 + 3qx + r = 0 are in H.P. is :

Options

  1. A2p^3 - 3pqr + r^2 = 0
  2. B3p^3 - 2pqr + p^2 = 0
  3. C2q^3 - 3pqr + r^2 = 0
  4. Dr^3 - 3pqr + 2q^3 = 0 .

Correct answer

C. 2q^3 - 3pqr + r^2 = 0

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