Mathematics
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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 (x^2)/2 >sqrt(2x^2+2) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( x ^ 2 ) / 2 > sqrt ( 2 * x ^ 2 + 2 )         (1)
        From the definition field of √
         2 * x ^ 2 + 2 ≥ 0        (2 )

    From inequality(1):
         x < -2.983116 或  x > 2.983116
    From inequality(2):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    From inequalities (1) and (2)
         x < -2.983116 或  x > 2.983116    (3)

    The final solution set is :

         x < -2.983116 或  x > 2.983116




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