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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

If and are the roots of the equation ax^2 + bx + c = 0; a, b, c R; a 0 then which is (are) correct:

Options

  1. A^2 + ^2 = b^2 - 2ac a^2
  2. B1 ^2 + 1 ^2 = b^2 - 2ac c^2
  3. C1 ^3 + 1 ^3 = abc - b^3 c^3
  4. D( + ) = - bc a^2 .

Correct answer

A. ^2 + ^2 = b^2 - 2ac a^2

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