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D( x )
x-5 = 0
x-5 = 0
x-5 = 0
x-5 = 0 // + 5
x = 5
x in (-oo:5) U (5:+oo)
(5*x^3-(18*x^2)-(39*x)+20)/(x-5) = 0
(5*x^3-18*x^2-39*x+20)/(x-5) = 0
5*x^3-18*x^2-39*x+20 = 0
5*x^3-18*x^2-39*x+20 = 0
{ 1, -1, 2, -2, 4, -4, 5, -5, 10, -10, 20, -20 }
1
x = 1
5*x^3-18*x^2-39*x+20 = -32
1
-1
x = -1
5*x^3-18*x^2-39*x+20 = 36
-1
2
x = 2
5*x^3-18*x^2-39*x+20 = -90
2
-2
x = -2
5*x^3-18*x^2-39*x+20 = -14
-2
4
x = 4
5*x^3-18*x^2-39*x+20 = -104
4
-4
x = -4
5*x^3-18*x^2-39*x+20 = -432
-4
5
x = 5
5*x^3-18*x^2-39*x+20 = 0
5
x-5
5*x^2+7*x-4
5*x^3-18*x^2-39*x+20
x-5
25*x^2-5*x^3
7*x^2-39*x+20
35*x-7*x^2
20-4*x
4*x-20
0
5*x^2+7*x-4 = 0
DELTA = 7^2-(-4*4*5)
DELTA = 129
DELTA > 0
x = (129^(1/2)-7)/(2*5) or x = (-129^(1/2)-7)/(2*5)
x = (129^(1/2)-7)/10 or x = (-(129^(1/2)+7))/10
x in { (-(129^(1/2)+7))/10, (129^(1/2)-7)/10, 5}
(x+(129^(1/2)+7)/10)*(x-((129^(1/2)-7)/10))*(x-5) = 0
(x+(129^(1/2)+7)/10)*(x-((129^(1/2)-7)/10)) = 0
( x+(129^(1/2)+7)/10 )
x+(129^(1/2)+7)/10 = 0 // - (129^(1/2)+7)/10
x = -((129^(1/2)+7)/10)
( x-((129^(1/2)-7)/10) )
x-((129^(1/2)-7)/10) = 0 // + (129^(1/2)-7)/10
x = (129^(1/2)-7)/10
x in { -((129^(1/2)+7)/10), (129^(1/2)-7)/10 }
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