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+1280.61x)/(147.42x+2561.22)*(24.57x^2+426.87x)-1.2*(6.25x^2+236.24x)/(37.5x+1417.44)*(12.5x^2+708.72x)+191.38x-656.003 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 49.14 * x ^ 2 + 1280.61 * x ) / ( 147.42 * x + 2561.22 ) * ( 24.57 * x ^ 2 + 426.87 * x ) - 1.2 * ( 6.25 * x ^ 2 + 236.24 * x ) / ( 37.5 * x + 1417.44 ) * ( 12.5 * x ^ 2 + 708.72 * x ) + 191.38 * x - 656.003 >0         (1)
        From the definition field of divisor
         147.42 * x + 2561.22 ≠ 0        (2 )
        From the definition field of divisor
         37.5 * x + 1417.44 ≠ 0        (3 )

    From inequality(1):
         x > 1.889604
    From inequality(2):
         x < -17.373626 或  x > -17.373626
    From inequality(3):
         x < -23624/625 或  x > -23624/625

    From inequalities (1) and (2)
         x > 1.889604    (4)
    From inequalities (3) and (4)
         x > 1.889604    (5)

    The final solution set is :

         x > 1.889604




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