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D( x )
x^2-(5*x)+6 = 0
x^2-(3*x)+2 = 0
x^2-(5*x)+6 = 0
x^2-(5*x)+6 = 0
x^2-5*x+6 = 0
x^2-5*x+6 = 0
DELTA = (-5)^2-(1*4*6)
DELTA = 1
DELTA > 0
x = (1^(1/2)+5)/(1*2) or x = (5-1^(1/2))/(1*2)
x = 3 or x = 2
x^2-(3*x)+2 = 0
x^2-(3*x)+2 = 0
x^2-3*x+2 = 0
x^2-3*x+2 = 0
DELTA = (-3)^2-(1*2*4)
DELTA = 1
DELTA > 0
x = (1^(1/2)+3)/(1*2) or x = (3-1^(1/2))/(1*2)
x = 2 or x = 1
x in (-oo:1) U (1:2) U (2:3) U (3:+oo)
((x^2-(3*x)+2)/(x^2-(5*x)+6))*(x^2-(3*x)+2)-(((x^2-(5*x)+6)/(x^2-(3*x)+2))*(x^2-(5*x)+6)) = 0
((x^2-3*x+2)/(x^2-5*x+6))*(x^2-3*x+2)-((x^2-5*x+6)^2*(x^2-3*x+2)^-1) = 0
((x^2-3*x+2)^2)/(x^2-5*x+6)+(-1*(x^2-5*x+6)^2)/(x^2-3*x+2) = 0
x^2-5*x+6 = 0
x^2-5*x+6 = 0
x^2-5*x+6 = 0
DELTA = (-5)^2-(1*4*6)
DELTA = 1
DELTA > 0
x = (1^(1/2)+5)/(1*2) or x = (5-1^(1/2))/(1*2)
x = 3 or x = 2
(x-2)*(x-3) = 0
x^2-3*x+2 = 0
x^2-3*x+2 = 0
x^2-3*x+2 = 0
DELTA = (-3)^2-(1*2*4)
DELTA = 1
DELTA > 0
x = (1^(1/2)+3)/(1*2) or x = (3-1^(1/2))/(1*2)
x = 2 or x = 1
(x-1)*(x-2) = 0
((x^2-3*x+2)^2)/((x-2)*(x-3))+(-1*(x^2-5*x+6)^2)/((x-1)*(x-2)) = 0
((x^2-3*x+2)^2*(x-1))/((x-2)*(x-3)*(x-1))+(-1*(x^2-5*x+6)^2*(x-3))/((x-2)*(x-3)*(x-1)) = 0
(x^2-3*x+2)^2*(x-1)-1*(x^2-5*x+6)^2*(x-3) = 0
6*x^4-48*x^3+146*x^2-200*x+104 = 0
6*x^4-48*x^3+146*x^2-200*x+104 = 0
2*(3*x^4-24*x^3+73*x^2-100*x+52) = 0
3*x^4-24*x^3+73*x^2-100*x+52 = 0
{ 1, -1, 2, -2, 4, -4, 13, -13, 26, -26, 52, -52 }
1
x = 1
3*x^4-24*x^3+73*x^2-100*x+52 = 4
1
-1
x = -1
3*x^4-24*x^3+73*x^2-100*x+52 = 252
-1
2
x = 2
3*x^4-24*x^3+73*x^2-100*x+52 = 0
2
x-2
3*x^3-18*x^2+37*x-26
3*x^4-24*x^3+73*x^2-100*x+52
x-2
6*x^3-3*x^4
73*x^2-18*x^3-100*x+52
18*x^3-36*x^2
37*x^2-100*x+52
74*x-37*x^2
52-26*x
26*x-52
0
3*x^3-18*x^2+37*x-26 = 0
{ 1, -1, 2, -2, 13, -13, 26, -26 }
1
x = 1
3*x^3-18*x^2+37*x-26 = -4
1
-1
x = -1
3*x^3-18*x^2+37*x-26 = -84
-1
2
x = 2
3*x^3-18*x^2+37*x-26 = 0
2
x-2
3*x^2-12*x+13
3*x^3-18*x^2+37*x-26
x-2
6*x^2-3*x^3
37*x-12*x^2-26
12*x^2-24*x
13*x-26
26-13*x
0
3*x^2-12*x+13 = 0
DELTA = (-12)^2-(3*4*13)
DELTA = -12
DELTA < 0
x in { 2, 2}
2*(x-2)^2 = 0
(2*(x-2)^2)/((x-2)*(x-3)*(x-1)) = 0
(2*(x-2)^2)/((x-2)*(x-3)*(x-1)) = 0 // * (x-2)*(x-3)*(x-1)
2*(x-2)^2 = 0
x-2 = 0 // + 2
x = 2
x in { 2}
x belongs to the empty set
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