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