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Assignment:Find the solution set of inequality sqrt((x^2-3x+1)(-x^2+3x)) >-3x^2+9x-2 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
sqrt ( ( x ^ 2 - 3 * x + 1 ) * ( -x ^ 2 + 3 * x ) ) > -3 * x ^ 2 + 9 * x - 2 (1)
From the definition field of √
( x ^ 2 - 3 * x + 1 ) * ( -x ^ 2 + 3 * x ) ≥ 0 (2 )
From inequality(1):
x < 0.295841 或 x > 2.704159
From inequality(2):
0 ≤ x ≤ 0.381966 或 2.618034 ≤ x ≤ 3
From inequalities (1) and (2)
0 ≤ x < 0.295841 或 2.704159 < x ≤ 3 (3)
The final solution set is :
0 ≤ x < 0.295841 或 2.704159 < x ≤ 3 Your problem has not been solved here? Please take a look at the hot problems !