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

    From inequality(1):
         x ≤ 0 或  0 ≤ x ≤ 0 或  0 ≤ x ≤ 0.414214
    From inequality(2):
         x ≤ 1/2

    From inequalities (1) and (2)
         x ≤ 0 或  0 ≤ x ≤ 0 或  0 ≤ x ≤ 0.414214    (3)

    The final solution set is :

         x ≤ 0 或  0 ≤ x ≤ 0 或  0 ≤ x ≤ 0.414214




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