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D( x )
5*x-4 = 0
5*x-4 = 0
5*x-4 = 0
5*x-4 = 0 // + 4
5*x = 4 // : 5
x = 4/5
x in (-oo:4/5) U (4/5:+oo)
(25*x^3-(11*x)+2)/(5*x-4) = 0
(25*x^3-11*x+2)/(5*x-4) = 0
25*x^3-11*x+2 = 0
25*x^3-11*x+2 = 0
{ 1, -1, 2, -2 }
1
x = 1
25*x^3-11*x+2 = 16
1
-1
x = -1
25*x^3-11*x+2 = -12
-1
2
x = 2
25*x^3-11*x+2 = 180
2
-2
x = -2
25*x^3-11*x+2 = -176
-2
{ 1/5, -1/5, 1/25, -1/25, -1/5, 1/5, -1/25, 1/25, 2/5, -2/5, 2/25, -2/25, -2/5, 2/5, -2/25, 2/25 }
1/5
x
1/5
25*x^3-11*x+2 = 0
1/5
x-1/5
25*x^2+5*x-10
25*x^3-11*x+2
x-1/5
5*x^2-25*x^3
5*x^2-11*x+2
x-5*x^2
2-10*x
10*x-2
0
25*x^2+5*x-10 = 0
DELTA = 5^2-(-10*4*25)
DELTA = 1025
DELTA > 0
x = (1025^(1/2)-5)/(2*25) or x = (-1025^(1/2)-5)/(2*25)
x = (5*41^(1/2)-5)/50 or x = (-5*41^(1/2)-5)/50
x in { (-5*41^(1/2)-5)/50, (5*41^(1/2)-5)/50, 1/5}
(x-((-5*41^(1/2)-5)/50))*(x-((5*41^(1/2)-5)/50))*(x-1/5) = 0
((x-((-5*41^(1/2)-5)/50))*(x-((5*41^(1/2)-5)/50))*(x-1/5))/(5*x-4) = 0
( x-((-5*41^(1/2)-5)/50) )
x-((-5*41^(1/2)-5)/50) = 0 // + (-5*41^(1/2)-5)/50
x = (-5*41^(1/2)-5)/50
( x-((5*41^(1/2)-5)/50) )
x-((5*41^(1/2)-5)/50) = 0 // + (5*41^(1/2)-5)/50
x = (5*41^(1/2)-5)/50
( x-1/5 )
x-1/5 = 0 // + 1/5
x = 1/5
x in { (-5*41^(1/2)-5)/50, (5*41^(1/2)-5)/50, 1/5 }
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