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D( x )
x-1 = 0
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:1) U (1:+oo)
(x^3-(5*x^2)+6*x-2)/(x-1) = 0
(x^3-5*x^2+6*x-2)/(x-1) = 0
x^3-5*x^2+6*x-2 = 0
x^3-5*x^2+6*x-2 = 0
{ 1, -1, 2, -2 }
1
x = 1
x^3-5*x^2+6*x-2 = 0
1
x-1
x^2-4*x+2
x^3-5*x^2+6*x-2
x-1
x^2-x^3
6*x-4*x^2-2
4*x^2-4*x
2*x-2
2-2*x
0
x^2-4*x+2 = 0
DELTA = (-4)^2-(1*2*4)
DELTA = 8
DELTA > 0
x = (8^(1/2)+4)/(1*2) or x = (4-8^(1/2))/(1*2)
x = (2*2^(1/2)+4)/2 or x = (4-2*2^(1/2))/2
x in { (4-2*2^(1/2))/2, (2*2^(1/2)+4)/2, 1}
(x-((4-2*2^(1/2))/2))*(x-((2*2^(1/2)+4)/2))*(x-1) = 0
(x-((4-2*2^(1/2))/2))*(x-((2*2^(1/2)+4)/2)) = 0
( x-((2*2^(1/2)+4)/2) )
x-((2*2^(1/2)+4)/2) = 0 // + (2*2^(1/2)+4)/2
x = (2*2^(1/2)+4)/2
( x-((4-2*2^(1/2))/2) )
x-((4-2*2^(1/2))/2) = 0 // + (4-2*2^(1/2))/2
x = (4-2*2^(1/2))/2
x in { (2*2^(1/2)+4)/2, (4-2*2^(1/2))/2 }
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