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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 [(544.1n^2+6829.489n+20278.439)(n-1)^2]/(477.078+98.964n) ≥11.3n-211.5+1.2n^2(10626.106+1678.264n+63.6n^2)/(357.09+33.837n) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( ( 544.1 * n ^ 2 + 6829.489 * n + 20278.439 ) * ( n - 1 ) ^ 2 ) / ( 477.078 + 98.964 * n ) ≥11.3 * n - 211.5 + 1.2 * n ^ 2 * ( 10626.106 + 1678.264 * n + 63.6 * n ^ 2 ) / ( 357.09 + 33.837 * n )         (1)
        From the definition field of divisor
         477.078 + 98.964 * x ≠ 0        (2 )
        From the definition field of divisor
         357.09 + 33.837 * x ≠ 0        (3 )

    From inequality(1):
         n ≥ -5.824853
    From inequality(2):
         n < -4.820723 或  n > -4.820723
    From inequality(3):
         n < -10.553241 或  n > -10.553241

    From inequalities (1) and (2)
         -5.824853 ≤ n < -4.820723 或  n > -4.820723    (4)
    From inequalities (3) and (4)
         -5.824853 ≤ n < -4.820723 或  n > -4.820723    (5)

    The final solution set is :

         -5.824853 ≤ n < -4.820723 或  n > -4.820723




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