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D( x )
x+4 = 0
x+4 = 0
x+4 = 0
x+4 = 0 // - 4
x = -4
x in (-oo:-4) U (-4:+oo)
(x^3-(4*x^2)-(29*x)+12)/(x+4) = 0
(x^3-4*x^2-29*x+12)/(x+4) = 0
x^3-4*x^2-29*x+12 = 0
x^3-4*x^2-29*x+12 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12 }
1
x = 1
x^3-4*x^2-29*x+12 = -20
1
-1
x = -1
x^3-4*x^2-29*x+12 = 36
-1
2
x = 2
x^3-4*x^2-29*x+12 = -54
2
-2
x = -2
x^3-4*x^2-29*x+12 = 46
-2
3
x = 3
x^3-4*x^2-29*x+12 = -84
3
-3
x = -3
x^3-4*x^2-29*x+12 = 36
-3
4
x = 4
x^3-4*x^2-29*x+12 = -104
4
-4
x = -4
x^3-4*x^2-29*x+12 = 0
-4
x+4
x^2-8*x+3
x^3-4*x^2-29*x+12
x+4
-x^3-4*x^2
12-8*x^2-29*x
8*x^2+32*x
3*x+12
-3*x-12
0
x^2-8*x+3 = 0
DELTA = (-8)^2-(1*3*4)
DELTA = 52
DELTA > 0
x = (52^(1/2)+8)/(1*2) or x = (8-52^(1/2))/(1*2)
x = (2*13^(1/2)+8)/2 or x = (8-2*13^(1/2))/2
x in { (8-2*13^(1/2))/2, (2*13^(1/2)+8)/2, -4}
(x-((8-2*13^(1/2))/2))*(x-((2*13^(1/2)+8)/2))*(x+4) = 0
(x-((8-2*13^(1/2))/2))*(x-((2*13^(1/2)+8)/2)) = 0
( x-((2*13^(1/2)+8)/2) )
x-((2*13^(1/2)+8)/2) = 0 // + (2*13^(1/2)+8)/2
x = (2*13^(1/2)+8)/2
( x-((8-2*13^(1/2))/2) )
x-((8-2*13^(1/2))/2) = 0 // + (8-2*13^(1/2))/2
x = (8-2*13^(1/2))/2
x in { (2*13^(1/2)+8)/2, (8-2*13^(1/2))/2 }
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