Mathematics
语言:中文
Language:English

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 -440.31-158.11*n+(305.92*n+26.74*n^2)*(458.88*n+26.74*n^2)/(1835.52+160.44*n)-1.2*(69.03+4.87*n)*(208.59*n+9.74*n^2)/(29.22*n+417.18) ≥0 .
    Question type: Inequality
    Solution:
    The inequality can be reduced to 1 inequality:
        -440.31 - 158.11 * n + ( 305.92 * n + 26.74 * n ^ 2 ) * ( 458.88 * n + 26.74 * n ^ 2 ) / ( 1835.52 + 160.44 * n ) - 1.2 * ( 69.03 + 4.87 * n ) * ( 208.59 * n + 9.74 * n ^ 2 ) / ( 29.22 * n + 417.18 ) ≥0         (1)
        From the definition field of divisor
         1835.52 + 160.44 * x ≠ 0        (2 )
        From the definition field of divisor
         29.22 * x + 417.18 ≠ 0        (3 )

    From inequality(1):
         -18.827833 ≤ n ≤ -1.470311 或  n ≥ 3.570036
    From inequality(2):
         n < -11.440539 或  n > -11.440539
    From inequality(3):
         n < -14.277207 或  n > -14.277207

    From inequalities (1) and (2)
         -18.827833 ≤ n < -11.440539 或  -11.440539 < n ≤ -1.470311 或  n ≥ 3.570036    (4)
    From inequalities (3) and (4)
         -18.827833 ≤ n < -14.277207 或  -14.277207 < n < -11.440539 或  -11.440539 < n ≤ -1.470311 或  n ≥ 3.570036    (5)

    The final solution set is :

         -18.827833 ≤ n < -14.277207 或  -14.277207 < n < -11.440539 或  -11.440539 < n ≤ -1.470311 或  n ≥ 3.570036




Your problem has not been solved here? Please take a look at the  hot problems !


Return