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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

If and are the real roots of x^2 + px + q = 0 and ^4, ^4 are the roots of x^2 - rx + s = 0 . Then the equation x^2 - 4qx + 2q^2 - r = 0 has always ( , p 0, p, q, r, s R ):

Options

  1. Aone positive and one negative root
  2. Btwo positive roots
  3. Ctwo negative roots
  4. Dcan't say anything.

Correct answer

A. one positive and one negative root

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