Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality abs(((3*a^2-a^3)+sqrt((a^3-3*a^2)^2-4*a^3))÷2) <1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         abs ( ( ( 3 * a ^ 2 - a ^ 3 ) + sqrt ( ( a ^ 3 - 3 * a ^ 2 ) ^ 2 - 4 * a ^ 3 ) ) ÷ 2 ) <1         (1)
        From the definition field of √
         ( x ^ 3 - 3 * x ^ 2 ) ^ 2 - 4 * x ^ 3 ≥ 0        (2 )

    From inequality(1):
         a > -1/2
    From inequality(2):
         a ≤ 0 或  a ≥ 4

    From inequalities (1) and (2)
         -1/2 < a ≤ 0 或  a ≥ 4    (3)

    The final solution set is :

         -1/2 < a ≤ 0 或  a ≥ 4




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