Mathematics
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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(-x^2+2x+3) <15/8 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         sqrt ( -x ^ 2 + 2 * x + 3 ) <15 / 8         (1)
        From the definition field of √
         -x ^ 2 + 2 * x + 3 ≥ 0        (2 )

    From inequality(1):
         x < 0.304029 或  x > 1.695971
    From inequality(2):
         -1 ≤ x ≤ 3

    From inequalities (1) and (2)
         -1 ≤ x < 0.304029 或  1.695971 < x ≤ 3     (3)

    The final solution set is :

         -1 ≤ x < 0.304029 或  1.695971 < x ≤ 3




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