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 703.02*n-549.68+(311941.35*n^2+42377.69*n^3+1380.75*n^4)/(1934.76+157.38*n) >1.2*[(85997.63*n^2+4119.31*n^3+47.39*n^4)/(1015.86+29.25*n)] .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        703.02 * n - 549.68 + ( 311941.35 * n ^ 2 + 42377.69 * n ^ 3 + 1380.75 * n ^ 4 ) / ( 1934.76 + 157.38 * n ) >1.2 * ( ( 85997.63 * n ^ 2 + 4119.31 * n ^ 3 + 47.39 * n ^ 4 ) / ( 1015.86 + 29.25 * n ) )         (1)
        From the definition field of divisor
         1934.76 + 157.38 * x ≠ 0        (2 )
        From the definition field of divisor
         1015.86 + 29.25 * x ≠ 0        (3 )

    From inequality(1):
         -34.749803 < n < -34.730256 或  n > 0.732531
    From inequality(2):
         n < -12.293557 或  n > -12.293557
    From inequality(3):
         n < -34.730256 或  n > -34.730256

    From inequalities (1) and (2)
         -34.749803 < n < -34.730256 或  n > 0.732531    (4)
    From inequalities (3) and (4)
         -34.749803 < n < -34.730256 或  n > 0.732531    (5)

    The final solution set is :

         -34.749803 < n < -34.730256 或  n > 0.732531




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