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current location:Mathematical operation > History of Inequality Computation > Answer
    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 ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    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 ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!    (3)

    The final solution set is :

         m ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!




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