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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (49.14x^2+1130.88x)/(147.42x+2261.76)*(24.57x^2+376.96x)-1.2*(6.25x^2+221.69x)/(37.5x+1330.14)*(12.5x^2+665.07x)-150.06x-1395.96 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 49.14 * x ^ 2 + 1130.88 * x ) / ( 147.42 * x + 2261.76 ) * ( 24.57 * x ^ 2 + 376.96 * x ) - 1.2 * ( 6.25 * x ^ 2 + 221.69 * x ) / ( 37.5 * x + 1330.14 ) * ( 12.5 * x ^ 2 + 665.07 * x ) - 150.06 * x - 1395.96 >0 (1)
From the definition field of divisor
147.42 * x + 2261.76 ≠ 0 (2 )
From the definition field of divisor
37.5 * x + 1330.14 ≠ 0 (3 )
From inequality(1):
-9.911397 < x < -4.894189 或 x > 5.057607
From inequality(2):
x < -15.342287 或 x > -15.342287
From inequality(3):
x < -22169/625 或 x > -22169/625
From inequalities (1) and (2)
-9.911397 < x < -4.894189 或 x > 5.057607 (4)
From inequalities (3) and (4)
-9.911397 < x < -4.894189 或 x > 5.057607 (5)
The final solution set is :
-9.911397 < x < -4.894189 或 x > 5.057607Your problem has not been solved here? Please take a look at the hot problems !