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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 <= -((73*a^2+28*a+4)^(1/2)-11*a-2)/(4*a) <= 4 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities:
        1 <= -( ( 73 * a ^ 2 + 28 * a + 4 ) ^ ( 1 / 2 ) - 11 * a - 2 ) / ( 4 * a )         (1)
         -( ( 73 * a ^ 2 + 28 * a + 4 ) ^ ( 1 / 2 ) - 11 * a - 2 ) / ( 4 * a ) <= 4         (2)
        From the definition field of divisor
         4 * x ≠ 0        (3 )

    From inequality(1):
         a ≤ 0
    From inequality(2):
         a ≥ -1
    From inequality(3):
         a < 0 或  a > 0

    From inequalities (1) and (2)
         -1 ≤ a ≤ 0    (4)
    From inequalities (3) and (4)
         -1 ≤ a < 0 或  0 < a ≤ 0     (5)

    The final solution set is :

         -1 ≤ a < 0 或  0 < a ≤ 0




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