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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 n^2+sqrt(n^2-1) <2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
n ^ 2 + sqrt ( n ^ 2 - 1 ) <2 (1)
From the definition field of √
x ^ 2 - 1 ≥ 0 (2 )
From inequality(1):
-1.175571 < n < 1.175571
From inequality(2):
n ≤ -1 或 n ≥ 1
From inequalities (1) and (2)
-1.175571 < n ≤ -1 或 1 ≤ n < 1.175571 (3)
The final solution set is :
-1.175571 < n ≤ -1 或 1 ≤ n < 1.175571Your problem has not been solved here? Please take a look at the hot problems !