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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality 3x^2+6/(x^2-2) <6sqrt(2) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
3 * x ^ 2 + 6 / ( x ^ 2 - 2 ) <6 * sqrt ( 2 ) (1)
From the definition field of divisor
x ^ 2 - 2 ≠ 0 (2 )
From inequality(1):
-√2 < x < √2
From inequality(2):
x < -√2 或 -√2 < x < √2 或 x > √2
From inequalities (1) and (2)
-√2 < x < √2 (3)
The final solution set is :
-√2 < x < √2 Your problem has not been solved here? Please take a look at the hot problems !