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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

Let , are the two real roots of equation x^2 + px + q = 0, p, q R, q 0 . If the quadratic equation g(x) = 0 has two roots + 1 , + 1 such that sum of roots is equal to product of roots, then the complete range of q is :

Options

  1. A[-1/3, 3]
  2. B[-1/3, 3)
  3. C(-1/3, 3)
  4. D(- , -1/3] [3, ) .

Correct answer

A. [-1/3, 3]

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