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[ 1/1Inequality]
Assignment:Find the solution set of inequality 2*b^2-2b/(sqrt(b^2-2*b-3))-2sqrt(b^2-2*b-3)-2-4b^2小于0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
2 * b ^ 2 - 2 * b / ( sqrt ( b ^ 2 - 2 * b - 3 ) ) - 2 * sqrt ( b ^ 2 - 2 * b - 3 ) - 2 - 4 * b ^ 2 <0 (1)
From the definition field of √
x ^ 2 - 2 * x - 3 ≥ 0 (2 )
From the definition field of divisor
sqrt ( x ^ 2 - 2 * x - 3 ) ≠ 0 (3 )
From the definition field of √
x ^ 2 - 2 * x - 3 ≥ 0 (4 )
From inequality(1):
b < -1.042903 或 b > 3
From inequality(2):
b ≤ -1 或 b ≥ 3
From inequality(3):
b < 3 或 b > 3
From inequality(4):
b ≤ -1 或 b ≥ 3
From inequalities (1) and (2)
b < -1.042903 或 b > 3 (5)
From inequalities (3) and (5)
b < -1.042903 或 b > 3 (6)
From inequalities (4) and (6)
b < -1.042903 或 b > 3 (7)
The final solution set is :
b < -1.042903 或 b > 3Your problem has not been solved here? Please take a look at the hot problems !