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☆1 inequalities
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Assignment:Find the solution set of inequality (-1+x^3)/(1+x-x^2) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -1 + x ^ 3 ) / ( 1 + x - x ^ 2 ) >0 (1)
From the definition field of divisor
1 + x - x ^ 2 ≠ 0 (2 )
From inequality(1):
x < -0.618034 或 1 < x < 1.618034
From inequality(2):
x < -0.618034 或 -0.618034 < x < 1.618034 或 x > 1.618034
From inequalities (1) and (2)
x < -0.618034 或 1 < x < 1.618034 (3)
The final solution set is :
x < -0.618034 或 1 < x < 1.618034 Your problem has not been solved here? Please take a look at the hot problems !