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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

Let a, b and c be three distinct real roots of the cubic x^3 + 2x^2 - 4x - 4 = 0 . If the equation x^3 + qx^2 + rx + s = 0 has roots 1/a, 1/b and 1/c , then the value of (q+r+s) is equal to:

Options

  1. A3/4
  2. B1/2
  3. C1/4
  4. D1/6 . *Because the source document contains hundreds of complex mathematical problems (including single choice

Correct answer

C. 1/4

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