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D( x )
2*x-1 = 0
2*x-1 = 0
2*x-1 = 0
2*x-1 = 0 // + 1
2*x = 1 // : 2
x = 1/2
x in (-oo:1/2) U (1/2:+oo)
(6*x^3-(13*x^2)+7*x-1)/(2*x-1) = 0
(6*x^3-13*x^2+7*x-1)/(2*x-1) = 0
6*x^3-13*x^2+7*x-1 = 0
6*x^3-13*x^2+7*x-1 = 0
{ 1, -1 }
1
x = 1
6*x^3-13*x^2+7*x-1 = -1
1
-1
x = -1
6*x^3-13*x^2+7*x-1 = -27
-1
{ 1/2, -1/2, 1/3, -1/3, 1/6, -1/6, -1/2, 1/2, -1/3, 1/3, -1/6, 1/6 }
1/2
x
1/2
6*x^3-13*x^2+7*x-1 = 0
1/2
x-1/2
6*x^2-10*x+2
6*x^3-13*x^2+7*x-1
x-1/2
3*x^2-6*x^3
7*x-10*x^2-1
10*x^2-5*x
2*x-1
1-2*x
0
6*x^2-10*x+2 = 0
DELTA = (-10)^2-(2*4*6)
DELTA = 52
DELTA > 0
x = (52^(1/2)+10)/(2*6) or x = (10-52^(1/2))/(2*6)
x = (2*13^(1/2)+10)/12 or x = (10-2*13^(1/2))/12
x in { (10-2*13^(1/2))/12, (2*13^(1/2)+10)/12, 1/2}
(x-((10-2*13^(1/2))/12))*(x-((2*13^(1/2)+10)/12))*(x-1/2) = 0
((x-((10-2*13^(1/2))/12))*(x-((2*13^(1/2)+10)/12))*(x-1/2))/(2*x-1) = 0
( x-((10-2*13^(1/2))/12) )
x-((10-2*13^(1/2))/12) = 0 // + (10-2*13^(1/2))/12
x = (10-2*13^(1/2))/12
( x-((2*13^(1/2)+10)/12) )
x-((2*13^(1/2)+10)/12) = 0 // + (2*13^(1/2)+10)/12
x = (2*13^(1/2)+10)/12
( x-1/2 )
x-1/2 = 0 // + 1/2
x = 1/2
x in { 1/2}
x in { (10-2*13^(1/2))/12, (2*13^(1/2)+10)/12 }
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