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 (15.925x^2+5.635x^3)/((72.945+48.63x+8.105x^2)+(7.27+1.818x)*(9+6x+x^2) ) >1.2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 15.925 * x ^ 2 + 5.635 * x ^ 3 ) / ( ( 72.945 + 48.63 * x + 8.105 * x ^ 2 ) + ( 7.27 + 1.818 * x ) * ( 9 + 6 * x + x ^ 2 ) ) >1.2         (1)
        From the definition field of divisor
         ( 72.945 + 48.63 * x + 8.105 * x ^ 2 ) + ( 7.27 + 1.818 * x ) * ( 9 + 6 * x + x ^ 2 ) ≠ 0        (2 )

    From inequality(1):
         x < -8.457096 或  -2.816856 < x < -1.856453 或  x > 9.194824
    From inequality(2):
         x < -8.457096 或  -8.457096 < x < -3 或  x > -3

    From inequalities (1) and (2)
         x < -8.457096 或 或  x < -8.457096 或  -2.816856 < x < -1.856453 或  x > 9.194824    (3)

    The final solution set is :

         x < -8.457096 或 或  x < -8.457096 或  -2.816856 < x < -1.856453 或  x > 9.194824




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