Overview: 1 questions will be solved this time.Among them
           ☆1 inequalities

[ 1/1Inequality]
    Assignment:Find the solution set of inequality √(((1/4)x+√(48-15/16x^2))-x)^2+(3/4)x^2 >8 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality：
         √ ( ( ( 1 / 4 ) * x + √ ( 48 - 15 / 16 * x ^ 2 ) ) - x ) ^ 2 + ( 3 / 4 ) * x ^ 2 >8         (1)
        From the definition field of √
         48 - 15 / 16 * x ^ 2 ≥ 0        (2 )
        From the definition field of √
         ( ( 1 / 4 ) * x + √ ( 48 - 15 / 16 * x ^ 2 ) ) - x ≥ 0        (3 )

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    From inequality(1)：
         x < -0.819004 或  x ＞ 1.920576
    From inequality(2)：
         -16/√5 ≤ x ≤ 16/√5
    From inequality(3)：
         x ≤ √32

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    From inequalities (1) and (2)
         -16/√5 ≤ x < -0.819004 或  1.920576 < x ≤ 16/√5     (4)
    From inequalities (3) and (4)
         -16/√5 ≤ x < -0.819004 或  1.920576 < x ≤ √32     (5)

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    The final solution set is :
         -16/√5 ≤ x < -0.819004 或  1.920576 < x ≤ √32

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