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D( x )
x^2 = 0
x-1 = 0
x^2 = 0
x^2 = 0
1*x^2 = 0 // : 1
x^2 = 0
x = 0
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:0) U (0:1) U (1:+oo)
(x^2)/(x-1)+(x-1)/(x^2) = 17/4 // - 17/4
(x^2)/(x-1)+(x-1)/(x^2)-(17/4) = 0
(x^2)/(x-1)+(x-1)/(x^2)-17/4 = 0
(4*(x^2)^2)/(4*x^2*(x-1))+(4*(x-1)^2)/(4*x^2*(x-1))+(-17*x^2*(x-1))/(4*x^2*(x-1)) = 0
4*(x-1)^2-17*x^2*(x-1)+4*(x^2)^2 = 0
4*x^4-17*x^3+4*x^2+17*x^2-8*x+4 = 0
4*x^4-17*x^3+21*x^2-8*x+4 = 0
4*x^4-17*x^3+21*x^2-8*x+4 = 0
4*x^4-17*x^3+21*x^2-8*x+4 = 0
{ 1, -1, 2, -2, 4, -4 }
1
x = 1
4*x^4-17*x^3+21*x^2-8*x+4 = 4
1
-1
x = -1
4*x^4-17*x^3+21*x^2-8*x+4 = 54
-1
2
x = 2
4*x^4-17*x^3+21*x^2-8*x+4 = 0
2
x-2
4*x^3-9*x^2+3*x-2
4*x^4-17*x^3+21*x^2-8*x+4
x-2
8*x^3-4*x^4
21*x^2-9*x^3-8*x+4
9*x^3-18*x^2
3*x^2-8*x+4
6*x-3*x^2
4-2*x
2*x-4
0
4*x^3-9*x^2+3*x-2 = 0
{ 1, -1, 2, -2 }
1
x = 1
4*x^3-9*x^2+3*x-2 = -4
1
-1
x = -1
4*x^3-9*x^2+3*x-2 = -18
-1
2
x = 2
4*x^3-9*x^2+3*x-2 = 0
2
x-2
4*x^2-x+1
4*x^3-9*x^2+3*x-2
x-2
8*x^2-4*x^3
3*x-x^2-2
x^2-2*x
x-2
2-x
0
4*x^2-x+1 = 0
DELTA = (-1)^2-(1*4*4)
DELTA = -15
DELTA < 0
x in { 2, 2}
(x-2)^2 = 0
((x-2)^2)/(4*x^2*(x-1)) = 0
((x-2)^2)/(4*x^2*(x-1)) = 0 // * 4*x^2*(x-1)
(x-2)^2 = 0
x-2 = 0 // + 2
x = 2
x in { 2, 2 }
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