Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 2 questions will be solved this time.Among them
           ☆2 inequalities

[ 1/2Inequality]
    Assignment:Find the solution set of inequality 4x^2-4(2x+1)(x-1) >= 0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        4 * x ^ 2 - 4 * ( 2 * x + 1 ) * ( x - 1 ) >= 0         (1)

    From inequality(1):
         -0.618034 ≤ x ≤ 1.618034

    The final solution set is :

         -0.618034 ≤ x ≤ 1.618034

[ 2/2Inequality]
    Assignment:Find the solution set of inequality (x-1)/(2x+1) <0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( x - 1 ) / ( 2 * x + 1 ) <0         (1)
        From the definition field of divisor
         2 * x + 1 ≠ 0        (2 )

    From inequality(1):
         -0.5 < x < 1
    From inequality(2):
         x < -1/2 或  x > -1/2

    From inequalities (1) and (2)
         -0.5 < x < 1     (3)

    The final solution set is :

         -0.5 < x < 1




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