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

    From inequality(1):
         t ≤ 0 或  t ≥ 2.618034
    From inequality(2):
         t ≥ 0
    From inequality(3):
         t ≥ 0

    From inequalities (1) and (2)
         0 ≤ t ≤ 0 或  t ≥ 2.618034    (4)
    From inequalities (3) and (4)
         0 ≤ t ≤ 0 或  t ≥ 2.618034    (5)

    The final solution set is :

         0 ≤ t ≤ 0 或  t ≥ 2.618034




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