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

    From inequality(1):
         b < -1.042903 或  b > 3
    From inequality(2):
         b ≤ -1 或  b ≥ 3
    From inequality(3):
         b < 3 或  b > 3
    From inequality(4):
         b ≤ -1 或  b ≥ 3

    From inequalities (1) and (2)
         b < -1.042903 或  b > 3    (5)
    From inequalities (3) and (5)
         b < -1.042903 或  b > 3    (6)
    From inequalities (4) and (6)
         b < -1.042903 或  b > 3    (7)

    The final solution set is :

         b < -1.042903 或  b > 3




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