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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 (-2x+sqrt(4(x)^2-12))^2+x*(-2x+sqrt(4(x)^2-12))+1 <0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         ( -2 * x + sqrt ( 4 * ( x ) ^ 2 - 12 ) ) ^ 2 + x * ( -2 * x + sqrt ( 4 * ( x ) ^ 2 - 12 ) ) + 1 <0         (1)
        From the definition field of √
         4 * ( x ) ^ 2 - 12 ≥ 0        (2 )
        From the definition field of √
         4 * ( x ) ^ 2 - 12 ≥ 0        (3 )

    From inequality(1):
         x > 2.245366
    From inequality(2):
         x ≤ -√3 或  x ≥ √3
    From inequality(3):
         x ≤ -√3 或  x ≥ √3

    From inequalities (1) and (2)
         x > 2.245366    (4)
    From inequalities (3) and (4)
         x > 2.245366    (5)

    The final solution set is :

         x > 2.245366




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