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 !