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

[ 1/1Inequality]
    Assignment:Find the solution set of inequality 38 <= 1+4k+2[(k^2+k)^1/2]+2[(k^2-k)^1/2] <42 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 2 inequalities：
        38 <= 1 + 4 * k + 2 * ( ( k ^ 2 + k ) ^ 1 / 2 ) + 2 * ( ( k ^ 2 - k ) ^ 1 / 2 )         (1)
         1 + 4 * k + 2 * ( ( k ^ 2 + k ) ^ 1 / 2 ) + 2 * ( ( k ^ 2 - k ) ^ 1 / 2 ) <42         (2)

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    From inequality(1)：
         k ≤ -5.41588 或  k ≥ 3.41588
    From inequality(2)：
         -5.636809 < k < 3.636809

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    From inequalities (1) and (2)
         -5.636809 < k ≤ -5.41588 或  3.41588 ≤ k < 3.636809    (3)

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    The final solution set is :
         -5.636809 < k ≤ -5.41588 或  3.41588 ≤ k < 3.636809

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