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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 abs(((3*a^2-a^3)-sqrt((a^3-3*a^2)^2-4*a^3))÷2) <1 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
abs ( ( ( 3 * a ^ 2 - a ^ 3 ) - sqrt ( ( a ^ 3 - 3 * a ^ 2 ) ^ 2 - 4 * a ^ 3 ) ) ÷ 2 ) <1 (1)
From the definition field of √
( x ^ 3 - 3 * x ^ 2 ) ^ 2 - 4 * x ^ 3 ≥ 0 (2 )
From inequality(1):
a ∈ R (R is all real numbers),that is, in the real number range, the inequality is always established!
From inequality(2):
a ≤ 0 或 a ≥ 4
From inequalities (1) and (2)
a ≤ 0 或 a ≥ 4 (3)
The final solution set is :
a ≤ 0 或 a ≥ 4Your problem has not been solved here? Please take a look at the hot problems !