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D( x )
x^2 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x in (-oo:0) U (0:+oo)
4*x-(108/(x^2)) = 0
4*x-108*x^-2 = 0
4*x^1-108*x^-2 = 0
(4*x^3-108*x^0)/(x^2) = 0 // * x^4
x^2*(4*x^3-108*x^0) = 0
x^2
4*x^3-108 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 9, -9, 12, -12, 18, -18, 27, -27, 36, -36, 54, -54, 108, -108 }
1
x = 1
4*x^3-108 = -104
1
-1
x = -1
4*x^3-108 = -112
-1
2
x = 2
4*x^3-108 = -76
2
-2
x = -2
4*x^3-108 = -140
-2
3
x = 3
4*x^3-108 = 0
3
x-3
4*x^2+12*x+36
4*x^3-108
x-3
12*x^2-4*x^3
12*x^2-108
36*x-12*x^2
36*x-108
108-36*x
0
4*x^2+12*x+36 = 0
DELTA = 12^2-(4*4*36)
DELTA = -432
DELTA < 0
x in { 3}
x = 3
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