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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 2a² ≤5sqrt(a²-1) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
2 * a ^ 2 ≤5 * sqrt ( a ^ 2 - 1 ) (1)
From the definition field of √
x ^ 2 - 1 ≥ 0 (2 )
From inequality(1):
-√5 ≤ a ≤ -√5/2 或 √5/2 ≤ a ≤ √5
From inequality(2):
a ≤ -1 或 a ≥ 1
From inequalities (1) and (2)
-√5 ≤ a ≤ -√5/2 或 √5/2 ≤ a ≤ √5 (3)
The final solution set is :
-√5 ≤ a ≤ -√5/2 或 √5/2 ≤ a ≤ √5Your problem has not been solved here? Please take a look at the hot problems !