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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

**(A)** The least positive integer x , for which 2x - 1 2x^3 + 3x^2 + x is positive, is equal to **(P)** 4/3 **(B)** If the quadratic equation 3x^2 + 2(a^2 + 1)x + (a^2 - 3a + 2) = 0 possess roots of opposite sign then a can be equal to **(Q)** 1 **(C)** The roots of the equation x+3-4 x-1 + x+8-6 x-1 = 1 can be equal to **(R)** 6 **(D)** If the roots of the equation x^4 - 8x^3 + bx^2 - cx + 16 = 0 are all real and p

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