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 2/a >(-a+sqrt(a^2+9))2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        2 / a > ( -a + sqrt ( a ^ 2 + 9 ) ) * 2         (1)
        From the definition field of divisor
        x ≠ 0        (2 )
        From the definition field of √
         x ^ 2 + 9 ≥ 0        (3 )

    From inequality(1):
         0 < a < 1/√7
    From inequality(2):
         a < 0 或  a > 0
    From inequality(3):
         a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!

    From inequalities (1) and (2)
         0 < a < 1/√7     (4)
    From inequalities (3) and (4)
         0 < a < 1/√7     (5)

    The final solution set is :

         0 < a < 1/√7




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