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Assignment:Find the solution set of inequality (218n+12n^2)*(218n+18n^2)/(436+37n)+520*(1.75+n)-629-292n-1.2[(182n+4n^2)*(182n+3n^2)/(364+9n)+17*(14+n)+55*(10+n)+220*(7+n)+718*(2.2+n) ) >= 0 .
Question type: Inequality
Solution:
The inequality can be reduced to 1 inequality:
( 218 * n + 12 * n ^ 2 ) * ( 218 * n + 18 * n ^ 2 ) / ( 436 + 37 * n ) + 520 * ( 1.75 + n ) - 629 - 292 * n - 1.2 * ( ( 182 * n + 4 * n ^ 2 ) * ( 182 * n + 3 * n ^ 2 ) / ( 364 + 9 * n ) + 17 * ( 14 + n ) + 55 * ( 10 + n ) + 220 * ( 7 + n ) + 718 * ( 2.2 + n ) ) >= 0 (1)
From the definition field of divisor
436 + 37 * x ≠ 0 (2 )
From the definition field of divisor
364 + 9 * x ≠ 0 (3 )
From inequality(1):
-41.517753 ≤ n ≤ -40.444444 或 -11.783784 ≤ n ≤ -5.027015 或 n ≥ 17.074803
From inequality(2):
n < -436/37 或 n > -436/37
From inequality(3):
n < -364/9 或 n > -364/9
From inequalities (1) and (2)
-41.517753 ≤ n ≤ -40.444444 或 -436/37 < n ≤ -5.027015 或 n ≥ 17.074803 (4)
From inequalities (3) and (4)
-41.517753 ≤ n < -364/9 或 -436/37 < n ≤ -5.027015 或 n ≥ 17.074803 (5)
The final solution set is :
-41.517753 ≤ n < -364/9 或 -436/37 < n ≤ -5.027015 或 n ≥ 17.074803Your problem has not been solved here? Please take a look at the hot problems !