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☆1 inequalities
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Assignment:Find the solution set of inequality (49.14x^2+937.5x)/(147.42x+1875)*(24.57x^2+312.5x)-1.2*(6.25x^2+610.32x)/(37.5x+1220.64)*(12.5x^2+610.32x)+117.95x-929.47 >0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 49.14 * x ^ 2 + 937.5 * x ) / ( 147.42 * x + 1875 ) * ( 24.57 * x ^ 2 + 312.5 * x ) - 1.2 * ( 6.25 * x ^ 2 + 610.32 * x ) / ( 37.5 * x + 1220.64 ) * ( 12.5 * x ^ 2 + 610.32 * x ) + 117.95 * x - 929.47 >0 (1)
From the definition field of divisor
147.42 * x + 1875 ≠ 0 (2 )
From the definition field of divisor
37.5 * x + 1220.64 ≠ 0 (3 )
From inequality(1):
-39.923252 < x < -32.5504 或 x > 29.574273
From inequality(2):
x < -12.718763 或 x > -12.718763
From inequality(3):
x < -20344/625 或 x > -20344/625
From inequalities (1) and (2)
-39.923252 < x < -32.5504 或 x > 29.574273 (4)
From inequalities (3) and (4)
-39.923252 < x < -20344/625 或 x > 29.574273 (5)
The final solution set is :
-39.923252 < x < -20344/625 或 x > 29.574273Your problem has not been solved here? Please take a look at the hot problems !