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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 m^2+1-sqrt((m^2+1)^2+4m^2) >-2m .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
m ^ 2 + 1 - sqrt ( ( m ^ 2 + 1 ) ^ 2 + 4 * m ^ 2 ) > -2 * m (1)
From the definition field of √
( x ^ 2 + 1 ) ^ 2 + 4 * x ^ 2 ≥ 0 (2 )
From inequality(1):
m > 0
From inequality(2):
m ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequalities (1) and (2)
m > 0 (3)
The final solution set is :
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