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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 2*sqrt(b^2-2*b-3)+b*sqrt(b^2-2*b-3)-b^2+2小于0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
2 * sqrt ( b ^ 2 - 2 * b - 3 ) + b * sqrt ( b ^ 2 - 2 * b - 3 ) - b ^ 2 + 2 <0 (1)
From the definition field of √
x ^ 2 - 2 * x - 3 ≥ 0 (2 )
From the definition field of √
x ^ 2 - 2 * x - 3 ≥ 0 (3 )
From inequality(1):
b < -1.624301 或 -1.624301 < b < 4.276098
From inequality(2):
b ≤ -1 或 b ≥ 3
From inequality(3):
b ≤ -1 或 b ≥ 3
From inequalities (1) and (2)
b < -1.624301 或 -1.624301 < b ≤ -1 或 3 ≤ b < 4.276098 (4)
From inequalities (3) and (4)
b < -1.624301 或 -1.624301 < b ≤ -1 或 3 ≤ b < 4.276098 (5)
The final solution set is :
b < -1.624301 或 -1.624301 < b ≤ -1 或 3 ≤ b < 4.276098Your problem has not been solved here? Please take a look at the hot problems !