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D( x )
x+8 = 0
x+8 = 0
x+8 = 0
x+8 = 0 // - 8
x = -8
x in (-oo:-8) U (-8:+oo)
(x^3-x^2-(62*x)+80)/(x+8) = 0
(x^3-x^2-62*x+80)/(x+8) = 0
x^3-x^2-62*x+80 = 0
x^3-x^2-62*x+80 = 0
{ 1, -1, 2, -2, 4, -4, 5, -5, 8, -8, 10, -10, 16, -16, 20, -20, 40, -40, 80, -80 }
1
x = 1
x^3-x^2-62*x+80 = 18
1
-1
x = -1
x^3-x^2-62*x+80 = 140
-1
2
x = 2
x^3-x^2-62*x+80 = -40
2
-2
x = -2
x^3-x^2-62*x+80 = 192
-2
4
x = 4
x^3-x^2-62*x+80 = -120
4
-4
x = -4
x^3-x^2-62*x+80 = 248
-4
5
x = 5
x^3-x^2-62*x+80 = -130
5
-5
x = -5
x^3-x^2-62*x+80 = 240
-5
8
x = 8
x^3-x^2-62*x+80 = 32
8
-8
x = -8
x^3-x^2-62*x+80 = 0
-8
x+8
x^2-9*x+10
x^3-x^2-62*x+80
x+8
-x^3-8*x^2
80-9*x^2-62*x
9*x^2+72*x
10*x+80
-10*x-80
0
x^2-9*x+10 = 0
DELTA = (-9)^2-(1*4*10)
DELTA = 41
DELTA > 0
x = (41^(1/2)+9)/(1*2) or x = (9-41^(1/2))/(1*2)
x = (41^(1/2)+9)/2 or x = (9-41^(1/2))/2
x in { (9-41^(1/2))/2, (41^(1/2)+9)/2, -8}
(x-((9-41^(1/2))/2))*(x-((41^(1/2)+9)/2))*(x+8) = 0
(x-((9-41^(1/2))/2))*(x-((41^(1/2)+9)/2)) = 0
( x-((41^(1/2)+9)/2) )
x-((41^(1/2)+9)/2) = 0 // + (41^(1/2)+9)/2
x = (41^(1/2)+9)/2
( x-((9-41^(1/2))/2) )
x-((9-41^(1/2))/2) = 0 // + (9-41^(1/2))/2
x = (9-41^(1/2))/2
x in { (41^(1/2)+9)/2, (9-41^(1/2))/2 }
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