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D( x )
x-6 = 0
x-6 = 0
x-6 = 0
x-6 = 0 // + 6
x = 6
x in (-oo:6) U (6:+oo)
(x^3-(10*x^2)+25*x-6)/(x-6) = 0
(x^3-10*x^2+25*x-6)/(x-6) = 0
x^3-10*x^2+25*x-6 = 0
x^3-10*x^2+25*x-6 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6 }
1
x = 1
x^3-10*x^2+25*x-6 = 10
1
-1
x = -1
x^3-10*x^2+25*x-6 = -42
-1
2
x = 2
x^3-10*x^2+25*x-6 = 12
2
-2
x = -2
x^3-10*x^2+25*x-6 = -104
-2
3
x = 3
x^3-10*x^2+25*x-6 = 6
3
-3
x = -3
x^3-10*x^2+25*x-6 = -198
-3
6
x = 6
x^3-10*x^2+25*x-6 = 0
6
x-6
x^2-4*x+1
x^3-10*x^2+25*x-6
x-6
6*x^2-x^3
25*x-4*x^2-6
4*x^2-24*x
x-6
6-x
0
x^2-4*x+1 = 0
DELTA = (-4)^2-(1*1*4)
DELTA = 12
DELTA > 0
x = (12^(1/2)+4)/(1*2) or x = (4-12^(1/2))/(1*2)
x = (2*3^(1/2)+4)/2 or x = (4-2*3^(1/2))/2
x in { (4-2*3^(1/2))/2, (2*3^(1/2)+4)/2, 6}
(x-((4-2*3^(1/2))/2))*(x-((2*3^(1/2)+4)/2))*(x-6) = 0
(x-((4-2*3^(1/2))/2))*(x-((2*3^(1/2)+4)/2)) = 0
( x-((2*3^(1/2)+4)/2) )
x-((2*3^(1/2)+4)/2) = 0 // + (2*3^(1/2)+4)/2
x = (2*3^(1/2)+4)/2
( x-((4-2*3^(1/2))/2) )
x-((4-2*3^(1/2))/2) = 0 // + (4-2*3^(1/2))/2
x = (4-2*3^(1/2))/2
x in { (2*3^(1/2)+4)/2, (4-2*3^(1/2))/2 }
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