Mathematics
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current location:Mathematical operation > History of Inequality Computation > Answer
    Overview: 2 questions will be solved this time.Among them
           ☆2 inequalities

[ 1/2Inequality]
    Assignment:Find the solution set of inequality x²-2x-2╱x²+x+1 >1 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x ^ 2 - 2 * x - 2 / x ^ 2 + x + 1 >1         (1)
        From the definition field of divisor
        x ≠ 0        (2 )

    From inequality(1):
         x < -1 或  x > 1.543689
    From inequality(2):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         x < -1 或  x > 1.543689    (3)

    The final solution set is :

         x < -1 或  x > 1.543689

[ 2/2Inequality]
    Assignment:Find the solution set of inequality x²-2x-2╱x²+x+1 <2 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         x ^ 2 - 2 * x - 2 / x ^ 2 + x + 1 <2         (1)
        From the definition field of divisor
        x ≠ 0        (2 )

    From inequality(1):
         -1.156728 < x < 1.85356
    From inequality(2):
         x < 0 或  x > 0

    From inequalities (1) and (2)
         -1.156728 < x < 0 或  0 < x < 1.85356     (3)

    The final solution set is :

         -1.156728 < x < 0 或  0 < x < 1.85356




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