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[ 1/1Inequality]
Assignment:Find the solution set of inequality (47.14*x^2+1080.21x)/(147.42x+2160.42)*(24.57x^2+360.07x)-1853.39238-418.894x-1.2*(6.25x^2+217.07x)*(12.5x^2+651.21x)/(37.5x+1302.42) >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 47.14 * x ^ 2 + 1080.21 * x ) / ( 147.42 * x + 2160.42 ) * ( 24.57 * x ^ 2 + 360.07 * x ) - 1853.39238 - 418.894 * x - 1.2 * ( 6.25 * x ^ 2 + 217.07 * x ) * ( 12.5 * x ^ 2 + 651.21 * x ) / ( 37.5 * x + 1302.42 ) >0 (1)
From the definition field of divisor
147.42 * x + 2160.42 ≠ 0 (2 )
From the definition field of divisor
37.5 * x + 1302.42 ≠ 0 (3 )
From inequality(1):
-13.22966 < x < -3.512211 或 x > 7.446351
From inequality(2):
x < -14.654864 或 x > -14.654864
From inequality(3):
x < -21707/625 或 x > -21707/625
From inequalities (1) and (2)
-13.22966 < x < -3.512211 或 x > 7.446351 (4)
From inequalities (3) and (4)
-13.22966 < x < -3.512211 或 x > 7.446351 (5)
The final solution set is :
-13.22966 < x < -3.512211 或 x > 7.446351Your problem has not been solved here? Please take a look at the hot problems !