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 abs((1+x+sqrt((1+x)^2-4x))/2) <1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         abs ( ( 1 + x + sqrt ( ( 1 + x ) ^ 2 - 4 * x ) ) / 2 ) <1         (1)
        From the definition field of √
         ( 1 + x ) ^ 2 - 4 * x ≥ 0        (2 )

    From inequality(1):
        The solution set is empty, that is, within the range of real numbers, the inequality will never be established!
    From inequality(2):
         x ≤ 1 或  1 ≤ x ≤ 1 或  x ≥ 1

    The final solution set is :

        The solution set is empty,that is, the inequality will never be estatlished within the real number range.




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