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

    From inequality(1):
         -0.421535 < m < 0.296535
    From inequality(2):
         m < 0 或  m > 0
    From inequality(3):
         m < 0 或  m > 0
    From inequality(4):
         m < 0 或  m > 0

    From inequalities (1) and (2)
         -0.421535 < m < 0 或  0 < m < 0.296535     (5)
    From inequalities (3) and (5)
         -0.421535 < m < 0 或  0 < m < 0 或  0 < m < 0.296535     (6)
    From inequalities (4) and (6)
         -0.421535 < m < 0 或  0 < m < 0 或  0 < m < 0.296535     (7)

    The final solution set is :

         -0.421535 < m < 0 或  0 < m < 0 或  0 < m < 0.296535




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