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 (16+4m^2+16m)/m^6-(8/m^2+4)*(((4+m^2+4m)/2m^4)-2) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 16 + 4 * m ^ 2 + 16 * m ) / m ^ 6 - ( 8 / m ^ 2 + 4 ) * ( ( ( 4 + m ^ 2 + 4 * m ) / 2 * m ^ 4 ) - 2 ) >0         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of divisor
        x ≠ 0        (3 )

    From inequality(1):
         -2.359342 < m < 1.015072
    From inequality(2):
         m < 0 或  m > 0
    From inequality(3):
         m < 0 或  m > 0

    From inequalities (1) and (2)
         -2.359342 < m < 0 或  0 < m < 1.015072     (4)
    From inequalities (3) and (4)
         -2.359342 < m < 0 或  0 < m < 1.015072     (5)

    The final solution set is :

         -2.359342 < m < 0 或  0 < m < 1.015072




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