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D( x )
x-4 = 0
x-4 = 0
x-4 = 0
x-4 = 0 // + 4
x = 4
x in (-oo:4) U (4:+oo)
(x^3-(3*x)-52)/(x-4) = 0
(x^3-3*x-52)/(x-4) = 0
x^3-3*x-52 = 0
x^3-3*x-52 = 0
{ 1, -1, 2, -2, 4, -4, 13, -13, 26, -26, 52, -52 }
1
x = 1
x^3-3*x-52 = -54
1
-1
x = -1
x^3-3*x-52 = -50
-1
2
x = 2
x^3-3*x-52 = -50
2
-2
x = -2
x^3-3*x-52 = -54
-2
4
x = 4
x^3-3*x-52 = 0
4
x-4
x^2+4*x+13
x^3-3*x-52
x-4
4*x^2-x^3
4*x^2-3*x-52
16*x-4*x^2
13*x-52
52-13*x
0
x^2+4*x+13 = 0
DELTA = 4^2-(1*4*13)
DELTA = -36
DELTA < 0
x in { 4}
x-4 = 0
1 = 0
x belongs to the empty set
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