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D( n )
n = 0
n^2 = 0
n = 0
n = 0
n^2 = 0
n^2 = 0
1*n^2 = 0 // : 1
n^2 = 0
n = 0
n in (-oo:0) U (0:+oo)
n-(3/n)+1/n-3+3 = 18/(n^2)-9 // - 18/(n^2)-9
n-(3/n)+1/n-(18/(n^2))-3+3+9 = 0
n-3*n^-1+1/n-18*n^-2-3+3+9 = 0
1*n^1-2*n^-1-18*n^-2+9*n^0 = 0
(1*n^3+9*n^2-2*n^1-18*n^0)/(n^2) = 0 // * n^4
n^2*(1*n^3+9*n^2-2*n^1-18*n^0) = 0
n^2
n^3+9*n^2-2*n-18 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18 }
1
n = 1
n^3+9*n^2-2*n-18 = -10
1
-1
n = -1
n^3+9*n^2-2*n-18 = -8
-1
2
n = 2
n^3+9*n^2-2*n-18 = 22
2
-2
n = -2
n^3+9*n^2-2*n-18 = 14
-2
3
n = 3
n^3+9*n^2-2*n-18 = 84
3
-3
n = -3
n^3+9*n^2-2*n-18 = 42
-3
6
n = 6
n^3+9*n^2-2*n-18 = 510
6
-6
n = -6
n^3+9*n^2-2*n-18 = 102
-6
9
n = 9
n^3+9*n^2-2*n-18 = 1422
9
-9
n = -9
n^3+9*n^2-2*n-18 = 0
-9
n+9
n^2-2
n^3+9*n^2-2*n-18
n+9
-n^3-9*n^2
-2*n-18
2*n+18
0
n^2-2 = 0
DELTA = 0^2-(-2*1*4)
DELTA = 8
DELTA > 0
n = (8^(1/2)+0)/(1*2) or n = (0-8^(1/2))/(1*2)
n = 2^(1/2) or n = -2^(1/2)
n in { -2^(1/2), 2^(1/2), -9}
n in { -2^(1/2), 2^(1/2), -9 }
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