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D( x )
x-5 = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
x in (-oo:5) U (5:+oo)
(2*x^3-(34*x)-80)/(x-5) = 0
(2*x^3-34*x-80)/(x-5) = 0
2*x^3-34*x-80 = 0
2*(x^3-17*x-40) = 0
x^3-17*x-40 = 0
{ 1, -1, 2, -2, 4, -4, 5, -5, 8, -8, 10, -10, 20, -20, 40, -40 }
1
x = 1
x^3-17*x-40 = -56
1
-1
x = -1
x^3-17*x-40 = -24
-1
2
x = 2
x^3-17*x-40 = -66
2
-2
x = -2
x^3-17*x-40 = -14
-2
4
x = 4
x^3-17*x-40 = -44
4
-4
x = -4
x^3-17*x-40 = -36
-4
5
x = 5
x^3-17*x-40 = 0
5
x-5
x^2+5*x+8
x^3-17*x-40
x-5
5*x^2-x^3
5*x^2-17*x-40
25*x-5*x^2
8*x-40
40-8*x
0
x^2+5*x+8 = 0
DELTA = 5^2-(1*4*8)
DELTA = -7
DELTA < 0
x in { 5}
2*(x-5) = 0
2 = 0
x belongs to the empty set
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