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 1/2+a-√(5+4a2)/2 <0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        1 / 2 + a - √ ( 5 + 4 * a * 2 ) / 2 <0         (1)
        From the definition field of √
         5 + 4 * x * 2 ≥ 0        (2 )

    From inequality(1):
         -0.633975 < a < 1.618034
    From inequality(2):
         a ≥ -5/8

    From inequalities (1) and (2)
         -5/8 ≤ a < 1.618034    (3)

    The final solution set is :

         -5/8 ≤ a < 1.618034




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