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D( x )
x-2 = 0
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x in (-oo:2) U (2:+oo)
(x^3-(2*x^2)-(9*x)+10)/(x-2) = 0
(x^3-2*x^2-9*x+10)/(x-2) = 0
x^3-2*x^2-9*x+10 = 0
x^3-2*x^2-9*x+10 = 0
{ 1, -1, 2, -2, 5, -5, 10, -10 }
1
x = 1
x^3-2*x^2-9*x+10 = 0
1
x-1
x^2-x-10
x^3-2*x^2-9*x+10
x-1
x^2-x^3
10-x^2-9*x
x^2-x
10-10*x
10*x-10
0
x^2-x-10 = 0
DELTA = (-1)^2-(-10*1*4)
DELTA = 41
DELTA > 0
x = (41^(1/2)+1)/(1*2) or x = (1-41^(1/2))/(1*2)
x = (41^(1/2)+1)/2 or x = (1-41^(1/2))/2
x in { (1-41^(1/2))/2, (41^(1/2)+1)/2, 1}
(x-((1-41^(1/2))/2))*(x-((41^(1/2)+1)/2))*(x-1) = 0
((x-((1-41^(1/2))/2))*(x-((41^(1/2)+1)/2))*(x-1))/(x-2) = 0
( x-((1-41^(1/2))/2) )
x-((1-41^(1/2))/2) = 0 // + (1-41^(1/2))/2
x = (1-41^(1/2))/2
( x-((41^(1/2)+1)/2) )
x-((41^(1/2)+1)/2) = 0 // + (41^(1/2)+1)/2
x = (41^(1/2)+1)/2
( x-1 )
x-1 = 0 // + 1
x = 1
x in { (1-41^(1/2))/2, (41^(1/2)+1)/2, 1 }
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