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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (3-m-sqrt((m-3)^2-4m))/2 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 3 - m - sqrt ( ( m - 3 ) ^ 2 - 4 * m ) ) / 2 >0 (1)
From the definition field of √
( x - 3 ) ^ 2 - 4 * x ≥ 0 (2 )
From inequality(1):
m > 0
From inequality(2):
m ≤ 1 或 m ≥ 9
From inequalities (1) and (2)
0 < m ≤ 1 或 m ≥ 9 (3)
The final solution set is :
0 < m ≤ 1 或 m ≥ 9Your problem has not been solved here? Please take a look at the hot problems !