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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 ((a-1/(4a))^2)/4+(1/(2a))^2 <= 1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( ( a - 1 / ( 4 * a ) ) ^ 2 ) / 4 + ( 1 / ( 2 * a ) ) ^ 2 <= 1 (1)
From the definition field of divisor
4 * x ≠ 0 (2 )
From the definition field of divisor
2 * x ≠ 0 (3 )
From inequality(1):
-√17/2 ≤ a ≤ -1/2 或 1/2 ≤ a ≤ √17/2
From inequality(2):
a < 0 或 a > 0
From inequality(3):
a < 0 或 a > 0
From inequalities (1) and (2)
-√17/2 ≤ a ≤ -1/2 或 1/2 ≤ a ≤ √17/2 (4)
From inequalities (3) and (4)
-√17/2 ≤ a ≤ -1/2 或 1/2 ≤ a ≤ √17/2 (5)
The final solution set is :
-√17/2 ≤ a ≤ -1/2 或 1/2 ≤ a ≤ √17/2Your problem has not been solved here? Please take a look at the hot problems !