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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 2a² ≤5sqrt(a²-1) .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        2 * a ^ 2 ≤5 * sqrt ( a ^ 2 - 1 )         (1)
        From the definition field of √
         x ^ 2 - 1 ≥ 0        (2 )

    From inequality(1):
         -√5 ≤ a ≤ -√5/2 或  √5/2 ≤ a ≤ √5
    From inequality(2):
         a ≤ -1 或  a ≥ 1

    From inequalities (1) and (2)
         -√5 ≤ a ≤ -√5/2 或  √5/2 ≤ a ≤ √5    (3)

    The final solution set is :

         -√5 ≤ a ≤ -√5/2 或  √5/2 ≤ a ≤ √5




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