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D( x )
x = 0
x = 0
x = 0
x in (-oo:0) U (0:+oo)
x^2-(3*x)-(54/x)-9 = 0
x^2-3*x-54*x^-1-9 = 0
1*x^2-3*x^1-54*x^-1-9*x^0 = 0
(1*x^3-3*x^2-9*x^1-54*x^0)/(x^1) = 0 // * x^2
x^1*(1*x^3-3*x^2-9*x^1-54*x^0) = 0
x^1
x^3-3*x^2-9*x-54 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6, 9, -9, 18, -18, 27, -27, 54, -54 }
1
x = 1
x^3-3*x^2-9*x-54 = -65
1
-1
x = -1
x^3-3*x^2-9*x-54 = -49
-1
2
x = 2
x^3-3*x^2-9*x-54 = -76
2
-2
x = -2
x^3-3*x^2-9*x-54 = -56
-2
3
x = 3
x^3-3*x^2-9*x-54 = -81
3
-3
x = -3
x^3-3*x^2-9*x-54 = -81
-3
6
x = 6
x^3-3*x^2-9*x-54 = 0
6
x-6
x^2+3*x+9
x^3-3*x^2-9*x-54
x-6
6*x^2-x^3
3*x^2-9*x-54
18*x-3*x^2
9*x-54
54-9*x
0
x^2+3*x+9 = 0
DELTA = 3^2-(1*4*9)
DELTA = -27
DELTA < 0
x in { 6}
x = 6
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