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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 4x^2/(x^2+1)^2-2x/(x^2+1)^2-2/(x^2+1) >0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        4 * x ^ 2 / ( x ^ 2 + 1 ) ^ 2 - 2 * x / ( x ^ 2 + 1 ) ^ 2 - 2 / ( x ^ 2 + 1 ) >0         (1)
        From the definition field of divisor
         x ^ 2 + 1 ≠ 0        (2 )
        From the definition field of divisor
         x ^ 2 + 1 ≠ 0        (3 )
        From the definition field of divisor
         x ^ 2 + 1 ≠ 0        (4 )

    From inequality(1):
         x < -0.618034 或  x > 1.618034
    From inequality(2):
         x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
    From inequality(3):
         x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!
    From inequality(4):
         x ∈ R (R为全体实数),即在实数范围内,不等式恒成立!

    From inequalities (1) and (2)
         x < -0.618034 或  x > 1.618034    (5)
    From inequalities (3) and (5)
         x < -0.618034 或  x > 1.618034    (6)
    From inequalities (4) and (6)
         x < -0.618034 或  x > 1.618034    (7)

    The final solution set is :

         x < -0.618034 或  x > 1.618034




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