Mathematics
语言:中文
Language:English

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(2x^{2}+2)     Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
         sqrt ( 2 * x ^ ( 2 ) + 2 ) < sqrt ( x ^ ( 2 ) + 4 * x + 3 )         (1)
        From the definition field of √
         2 * x ^ ( 2 ) + 2 ≥ 0        (2 )
        From the definition field of √
         x ^ ( 2 ) + 4 * x + 3 ≥ 0        (3 )

    From inequality(1):
         -0.236068 < x < 4.236068
    From inequality(2):
         x ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
    From inequality(3):
         x ≤ -3 或  x ≥ -1

    From inequalities (1) and (2)
         -0.236068 < x < 4.236068     (4)
    From inequalities (3) and (4)
         -0.236068 < x < 4.236068     (5)

    The final solution set is :

         -0.236068 < x < 4.236068




Your problem has not been solved here? Please take a look at the  hot problems !