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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 Your problem has not been solved here? Please take a look at the hot problems !