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 (9+4x-3x∧2+√(9×x×x×x×x-96×x×x×x+346×x×x-600x+441))÷4÷(x-1) >3÷2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( 9 + 4 * x - 3 * x ^ 2 + √ ( 9 × x × x × x × x - 96 × x × x × x + 346 × x × x - 600 * x + 441 ) ) ÷ 4 ÷ ( x - 1 ) >3 ÷ 2         (1)
        From the definition field of √
         9 × x × x × x × x - 96 × x × x × x + 346 × x × x - 600 * x + 441 ≥ 0        (2 )

    From inequality(1):
         1 < x < 2
    From inequality(2):
         x ≤ 2.012472 或  x ≥ 5.723438

    From inequalities (1) and (2)
         1 < x < 2     (3)

    The final solution set is :

         1 < x < 2




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