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 12x-12*sqrt(36-12x)-108+18*sqrt(36-12x)+36x >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        12 * x - 12 * sqrt ( 36 - 12 * x ) - 108 + 18 * sqrt ( 36 - 12 * x ) + 36 * x >0         (1)
        From the definition field of √
         36 - 12 * x ≥ 0        (2 )
        From the definition field of √
         36 - 12 * x ≥ 0        (3 )

    From inequality(1):
         x > 1.769709
    From inequality(2):
         x ≤ 3
    From inequality(3):
         x ≤ 3

    From inequalities (1) and (2)
         1.769709 < x ≤ 3     (4)
    From inequalities (3) and (4)
         1.769709 < x ≤ 3     (5)

    The final solution set is :

         1.769709 < x ≤ 3




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