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 (3-m-sqrt((m-3)^2-4m))/2 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 3 - m - sqrt ( ( m - 3 ) ^ 2 - 4 * m ) ) / 2 >0         (1)
        From the definition field of √
         ( x - 3 ) ^ 2 - 4 * x ≥ 0        (2 )

    From inequality(1):
         m > 0
    From inequality(2):
         m ≤ 1 或  m ≥ 9

    From inequalities (1) and (2)
         0 < m ≤ 1 或  m ≥ 9    (3)

    The final solution set is :

         0 < m ≤ 1 或  m ≥ 9




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