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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 n^2-296.36n+138.39+(114993.17n^2+19084.26n^3+760.5n^4)/(1176.15+117n) >(36405.68n^2+2698.92n^3+48.02n^4)/(660.96+29.4n) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         n ^ 2 - 296.36 * n + 138.39 + ( 114993.17 * n ^ 2 + 19084.26 * n ^ 3 + 760.5 * n ^ 4 ) / ( 1176.15 + 117 * n ) > ( 36405.68 * n ^ 2 + 2698.92 * n ^ 3 + 48.02 * n ^ 4 ) / ( 660.96 + 29.4 * n )         (1)
        From the definition field of divisor
         1176.15 + 117 * x ≠ 0        (2 )
        From the definition field of divisor
         660.96 + 29.4 * x ≠ 0        (3 )

    From inequality(1):
         -13.607103 < n < 0.507002 或  n > 4.122039
    From inequality(2):
         n < -10.052564 或  n > -10.052564
    From inequality(3):
         n < -22.481633 或  n > -22.481633

    From inequalities (1) and (2)
         -13.607103 < n < -10.052564 或  -10.052564 < n < 0.507002 或  n > 4.122039    (4)
    From inequalities (3) and (4)
         -13.607103 < n < -10.052564 或  -10.052564 < n < 0.507002 或  n > 4.122039    (5)

    The final solution set is :

         -13.607103 < n < -10.052564 或  -10.052564 < n < 0.507002 或  n > 4.122039




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