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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 -8(2x^1/2lnx+x^1/2)lnx-(-8x^1/2lnx)^1/2 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
-8 * ( 2 * x ^ 1 / 2 * ln x + x ^ 1 / 2 ) * ln x - ( -8 * x ^ 1 / 2 * ln x ) ^ 1 / 2 >0 (1)
From the definition field of ln
x > 0 (2 )
From the definition field of ln
x > 0 (3 )
From the definition field of ln
x > 0 (4 )
From inequality(1):
x < 0 或 0.778801 < x < 1
From inequality(2):
x > 0
From inequality(3):
x > 0
From inequality(4):
x > 0
From inequalities (1) and (2)
0.778801 < x < 1 (5)
From inequalities (3) and (5)
0.778801 < x < 1 (6)
From inequalities (4) and (6)
0.778801 < x < 1 (7)
The final solution set is :
0.778801 < x < 1 Your problem has not been solved here? Please take a look at the hot problems !