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Assignment:Find the solution set of inequality 3 ≤x+sqrt(x^2-4) ≥4 .
Question type: Inequality
Solution:
The inequality can be reduced to 2 inequalities:
3 ≤ x + sqrt ( x ^ 2 - 4 ) (1)
x + sqrt ( x ^ 2 - 4 ) ≥4 (2)
From the definition field of √
x ^ 2 - 4 ≥ 0 (3 )
From inequality(1):
x ≥ 13/6
From inequality(2):
x ≥ 5/2
From inequality(3):
x ≤ -2 或 x ≥ 2
From inequalities (1) and (2)
x ≥ 5/2 (4)
From inequalities (3) and (4)
x ≥ 5/2 (5)
The final solution set is :
x ≥ 5/2Your problem has not been solved here? Please take a look at the hot problems !