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Assignment:Find the solution set of inequality sqrt(x*(120-x))-36 >9*sqrt(17) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( x * ( 120 - x ) ) - 36 >9 * sqrt ( 17 ) (1)
From the definition field of √
x * ( 120 - x ) ≥ 0 (2 )
From inequality(1):
The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
From inequality(2):
0 ≤ x ≤ 120
The final solution set is :
The solution set is empty,that is, the inequality will never be estatlished within the real number range.
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