current location:Mathematical operation >
History of Inequality Computation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 inequalities
[ 1/1Inequality]
Assignment:Find the solution set of inequality n^2-296.36n+138.39+(114993.17n^2+19084.26n^3+760.5n^4)/(1176.15+117n) >(36405.68n^2+2698.92n^3+48.02n^4)/(660.96+29.4n) .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
n ^ 2 - 296.36 * n + 138.39 + ( 114993.17 * n ^ 2 + 19084.26 * n ^ 3 + 760.5 * n ^ 4 ) / ( 1176.15 + 117 * n ) > ( 36405.68 * n ^ 2 + 2698.92 * n ^ 3 + 48.02 * n ^ 4 ) / ( 660.96 + 29.4 * n ) (1)
From the definition field of divisor
1176.15 + 117 * x ≠ 0 (2 )
From the definition field of divisor
660.96 + 29.4 * x ≠ 0 (3 )
From inequality(1):
-13.607103 < n < 0.507002 或 n > 4.122039
From inequality(2):
n < -10.052564 或 n > -10.052564
From inequality(3):
n < -22.481633 或 n > -22.481633
From inequalities (1) and (2)
-13.607103 < n < -10.052564 或 -10.052564 < n < 0.507002 或 n > 4.122039 (4)
From inequalities (3) and (4)
-13.607103 < n < -10.052564 或 -10.052564 < n < 0.507002 或 n > 4.122039 (5)
The final solution set is :
-13.607103 < n < -10.052564 或 -10.052564 < n < 0.507002 或 n > 4.122039Your problem has not been solved here? Please take a look at the hot problems !