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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-(9*x^2)+27*x-28)/(x-3) = 0
(x^3-9*x^2+27*x-28)/(x-3) = 0
x^3-9*x^2+27*x-28 = 0
x^3-9*x^2+27*x-28 = 0
{ 1, -1, 2, -2, 4, -4, 7, -7, 14, -14, 28, -28 }
1
x = 1
x^3-9*x^2+27*x-28 = -9
1
-1
x = -1
x^3-9*x^2+27*x-28 = -65
-1
2
x = 2
x^3-9*x^2+27*x-28 = -2
2
-2
x = -2
x^3-9*x^2+27*x-28 = -126
-2
4
x = 4
x^3-9*x^2+27*x-28 = 0
4
x-4
x^2-5*x+7
x^3-9*x^2+27*x-28
x-4
4*x^2-x^3
27*x-5*x^2-28
5*x^2-20*x
7*x-28
28-7*x
0
x^2-5*x+7 = 0
DELTA = (-5)^2-(1*4*7)
DELTA = -3
DELTA < 0
x in { 4}
x-4 = 0
(x-4)/(x-3) = 0
x-4 = 0 // + 4
x = 4
x = 4
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