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+937.5x)/(147.42x+1875)*(24.57x^2+312.5x)-1.2*(6.25x^2+610.32x)/(37.5x+1220.64)*(12.5x^2+610.32x)+117.95x-929.47 >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 49.14 * x ^ 2 + 937.5 * x ) / ( 147.42 * x + 1875 ) * ( 24.57 * x ^ 2 + 312.5 * x ) - 1.2 * ( 6.25 * x ^ 2 + 610.32 * x ) / ( 37.5 * x + 1220.64 ) * ( 12.5 * x ^ 2 + 610.32 * x ) + 117.95 * x - 929.47 >0         (1)
        From the definition field of divisor
         147.42 * x + 1875 ≠ 0        (2 )
        From the definition field of divisor
         37.5 * x + 1220.64 ≠ 0        (3 )

    From inequality(1):
         -39.923252 < x < -32.5504 或  x > 29.574273
    From inequality(2):
         x < -12.718763 或  x > -12.718763
    From inequality(3):
         x < -20344/625 或  x > -20344/625

    From inequalities (1) and (2)
         -39.923252 < x < -32.5504 或  x > 29.574273    (4)
    From inequalities (3) and (4)
         -39.923252 < x < -20344/625 或  x > 29.574273    (5)

    The final solution set is :

         -39.923252 < x < -20344/625 或  x > 29.574273




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