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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)
(10*x^3-(61*x^2)+115*x-66)/(x-3) = 0
(10*x^3-61*x^2+115*x-66)/(x-3) = 0
10*x^3-61*x^2+115*x-66 = 0
10*x^3-61*x^2+115*x-66 = 0
{ 1, -1, 2, -2, 3, -3, 6, -6, 11, -11, 22, -22, 33, -33, 66, -66 }
1
x = 1
10*x^3-61*x^2+115*x-66 = -2
1
-1
x = -1
10*x^3-61*x^2+115*x-66 = -252
-1
2
x = 2
10*x^3-61*x^2+115*x-66 = 0
2
x-2
10*x^2-41*x+33
10*x^3-61*x^2+115*x-66
x-2
20*x^2-10*x^3
115*x-41*x^2-66
41*x^2-82*x
33*x-66
66-33*x
0
10*x^2-41*x+33 = 0
DELTA = (-41)^2-(4*10*33)
DELTA = 361
DELTA > 0
x = (361^(1/2)+41)/(2*10) or x = (41-361^(1/2))/(2*10)
x = 3 or x = 11/10
x in { 11/10, 3, 2}
(x-11/10)*(x-3)*(x-2) = 0
(x-11/10)*(x-2) = 0
( x-11/10 )
x-11/10 = 0 // + 11/10
x = 11/10
( x-2 )
x-2 = 0 // + 2
x = 2
x in { 11/10, 2 }
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