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 (47.14*x^2+1080.21x)/(147.42x+2160.42)*(24.57x^2+360.07x)-6224.88438-754.984x-1.2*(6.25x^2+217.07x)*(12.5x^2+651.21x)/(37.5x+1302.42) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 47.14 * x ^ 2 + 1080.21 * x ) / ( 147.42 * x + 2160.42 ) * ( 24.57 * x ^ 2 + 360.07 * x ) - 6224.88438 - 754.984 * x - 1.2 * ( 6.25 * x ^ 2 + 217.07 * x ) * ( 12.5 * x ^ 2 + 651.21 * x ) / ( 37.5 * x + 1302.42 ) >0         (1)
        From the definition field of divisor
         147.42 * x + 2160.42 ≠ 0        (2 )
        From the definition field of divisor
         37.5 * x + 1302.42 ≠ 0        (3 )

    From inequality(1):
         -13.328644 < x < -7.536098 或  x > 11.569222
    From inequality(2):
         x < -14.654864 或  x > -14.654864
    From inequality(3):
         x < -21707/625 或  x > -21707/625

    From inequalities (1) and (2)
         -13.328644 < x < -7.536098 或  x > 11.569222    (4)
    From inequalities (3) and (4)
         -13.328644 < x < -7.536098 或  x > 11.569222    (5)

    The final solution set is :

         -13.328644 < x < -7.536098 或  x > 11.569222




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