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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

If the range of the values of a for which the roots of the equation x^2 - 2x - a^2 + 1 = 0 lie between the roots of the equation x^2 - 2(a+1)x + a(a-1) = 0 is (p, q) , then find the value of (q - 1 p ) .

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5

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