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☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality (49.14x^2+1280.61x)/(147.42x+2561.22)*(24.57x^2+426.87x)-1.2*(6.25x^2+236.24x)/(37.5x+1417.44)*(12.5x^2+708.72x)+191.38x-656.003 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 49.14 * x ^ 2 + 1280.61 * x ) / ( 147.42 * x + 2561.22 ) * ( 24.57 * x ^ 2 + 426.87 * x ) - 1.2 * ( 6.25 * x ^ 2 + 236.24 * x ) / ( 37.5 * x + 1417.44 ) * ( 12.5 * x ^ 2 + 708.72 * x ) + 191.38 * x - 656.003 >0 (1)
From the definition field of divisor
147.42 * x + 2561.22 ≠ 0 (2 )
From the definition field of divisor
37.5 * x + 1417.44 ≠ 0 (3 )
From inequality(1):
x > 1.889604
From inequality(2):
x < -17.373626 或 x > -17.373626
From inequality(3):
x < -23624/625 或 x > -23624/625
From inequalities (1) and (2)
x > 1.889604 (4)
From inequalities (3) and (4)
x > 1.889604 (5)
The final solution set is :
x > 1.889604Your problem has not been solved here? Please take a look at the hot problems !