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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 6x+5-sqrt((6x+5)^2-4(6x+4)) ≥0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
6 * x + 5 - sqrt ( ( 6 * x + 5 ) ^ 2 - 4 * ( 6 * x + 4 ) ) ≥0 (1)
From the definition field of √
( 6 * x + 5 ) ^ 2 - 4 * ( 6 * x + 4 ) ≥ 0 (2 )
From inequality(1):
x ≥ -2/3
From inequality(2):
x ≤ -1/2 或 -1/2 ≤ x ≤ -1/2 或 x ≥ -1/2
From inequalities (1) and (2)
-2/3 ≤ x ≤ -1/2 或 -1/2 ≤ x ≤ -1/2 或 x ≥ -1/2 (3)
The final solution set is :
-2/3 ≤ x ≤ -1/2 或 -1/2 ≤ x ≤ -1/2 或 x ≥ -1/2Your problem has not been solved here? Please take a look at the hot problems !