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 (49.14x^2+1130.88x)/(147.42x+2261.76)*(24.57x^2+376.96x)-1.2*(6.25x^2+221.69x)/(37.5x+1330.14)*(12.5x^2+665.07x)-150.06x-1395.96 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 49.14 * x ^ 2 + 1130.88 * x ) / ( 147.42 * x + 2261.76 ) * ( 24.57 * x ^ 2 + 376.96 * x ) - 1.2 * ( 6.25 * x ^ 2 + 221.69 * x ) / ( 37.5 * x + 1330.14 ) * ( 12.5 * x ^ 2 + 665.07 * x ) - 150.06 * x - 1395.96 >0         (1)
        From the definition field of divisor
         147.42 * x + 2261.76 ≠ 0        (2 )
        From the definition field of divisor
         37.5 * x + 1330.14 ≠ 0        (3 )

    From inequality(1):
         -9.911397 < x < -4.894189 或  x > 5.057607
    From inequality(2):
         x < -15.342287 或  x > -15.342287
    From inequality(3):
         x < -22169/625 或  x > -22169/625

    From inequalities (1) and (2)
         -9.911397 < x < -4.894189 或  x > 5.057607    (4)
    From inequalities (3) and (4)
         -9.911397 < x < -4.894189 或  x > 5.057607    (5)

    The final solution set is :

         -9.911397 < x < -4.894189 或  x > 5.057607




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