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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

Find the smallest positive integral value of a for which the greater root, of the equation x^2 - (a^2 + a + 1)x + a(a^2 + 1) = 0 lies between the roots of the equation x^2 - a^2 x - 2(a^2 - 2) = 0

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3

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