Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 2 questions will be solved this time.Among them
           ☆2 inequalities

[ 1/2Inequality]
    Assignment:Find the solution set of inequality m-sqrt(4m^2-10m+4) >= 1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         m - sqrt ( 4 * m ^ 2 - 10 * m + 4 ) >= 1         (1)
        From the definition field of √
         4 * x ^ 2 - 10 * x + 4 ≥ 0        (2 )

    From inequality(1):
         m ≤ 2.21525
    From inequality(2):
         m ≤ 1/2 或  m ≥ 2

    From inequalities (1) and (2)
         m ≤ 1/2 或  2 ≤ m ≤ 2.21525    (3)

    The final solution set is :

         m ≤ 1/2 或  2 ≤ m ≤ 2.21525

[ 2/2Inequality]
    Assignment:Find the solution set of inequality 4m^2-10m+4 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        4 * m ^ 2 - 10 * m + 4 >0         (1)

    From inequality(1):
         m < 1/2 或  m > 2

    The final solution set is :

         m < 1/2 或  m > 2




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