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 0 <(1-√(1-4a))/2a <2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        0 < ( 1 - √ ( 1 - 4 * a ) ) / 2 * a         (1)
         ( 1 - √ ( 1 - 4 * a ) ) / 2 * a <2         (2)
        From the definition field of √
         1 - 4 * x ≥ 0        (3 )

    From inequality(1):
         a < 0 或  a > 0
    From inequality(2):
         a > -2
    From inequality(3):
         a ≤ 1/4

    From inequalities (1) and (2)
         -2 < a < 0 或  a > 0    (4)
    From inequalities (3) and (4)
         -2 < a < 0 或  0 < a ≤ 1/4     (5)

    The final solution set is :

         -2 < a < 0 或  0 < a ≤ 1/4




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