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Overview: 1 questions will be solved this time.Among them
☆1 inequalities
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Assignment:Find the solution set of inequality (-4x^2+100x+1200)/(x^2-400) <0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( -4 * x ^ 2 + 100 * x + 1200 ) / ( x ^ 2 - 400 ) <0 (1)
From the definition field of divisor
x ^ 2 - 400 ≠ 0 (2 )
From inequality(1):
x < -20 或 -8.860009 < x < 20 或 x > 33.860009
From inequality(2):
x < -20 或 -20 < x < 20 或 x > 20
From inequalities (1) and (2)
x < -20 或 -8.860009 < x < 20 或 x > 33.860009 (3)
The final solution set is :
x < -20 或 -8.860009 < x < 20 或 x > 33.860009Your problem has not been solved here? Please take a look at the hot problems !