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D( x )
x-2 = 0
x-3 = 0
x-2 = 0
x-2 = 0
x-2 = 0 // + 2
x = 2
x-3 = 0
x-3 = 0
x-3 = 0 // + 3
x = 3
x in (-oo:2) U (2:3) U (3:+oo)
(x-2)/3-(3/(x-2)) = (x-3)/2-(2/(x-3)) // - (x-3)/2-(2/(x-3))
(x-2)/3-(3/(x-2))-((x-3)/2)+2/(x-3) = 0
(x-2)/3-3*(x-2)^-1-((x-3)/2)+2/(x-3) = 0
(x-2)/3-3/(x-2)+(-1*(x-3))/2+2/(x-3) = 0
(2*(x-2)^2*(x-3))/(2*3*(x-2)*(x-3))+(-3*2*3*(x-3))/(2*3*(x-2)*(x-3))+(-1*3*(x-3)^2*(x-2))/(2*3*(x-2)*(x-3))+(3*2^2*(x-2))/(2*3*(x-2)*(x-3)) = 0
2*(x-2)^2*(x-3)-3*2*3*(x-3)-1*3*(x-3)^2*(x-2)+3*2^2*(x-2) = 0
2*x^3-3*x^3-14*x^2+24*x^2+14*x-63*x+12*x-24+30+54 = 0
10*x^2-x^3-49*x+12*x-24+84 = 0
10*x^2-x^3-37*x+60 = 0
10*x^2-x^3-37*x+60 = 0
10*x^2-x^3-37*x+60 = 0
{ 1, -1, 2, -2, 3, -3, 4, -4, 5, -5, 6, -6, 10, -10, 12, -12, 15, -15, 20, -20, 30, -30, 60, -60 }
1
x = 1
10*x^2-x^3-37*x+60 = 32
1
-1
x = -1
10*x^2-x^3-37*x+60 = 108
-1
2
x = 2
10*x^2-x^3-37*x+60 = 18
2
-2
x = -2
10*x^2-x^3-37*x+60 = 182
-2
3
x = 3
10*x^2-x^3-37*x+60 = 12
3
-3
x = -3
10*x^2-x^3-37*x+60 = 288
-3
4
x = 4
10*x^2-x^3-37*x+60 = 8
4
-4
x = -4
10*x^2-x^3-37*x+60 = 432
-4
5
x = 5
10*x^2-x^3-37*x+60 = 0
5
x-5
5*x-x^2-12
10*x^2-x^3-37*x+60
x-5
x^3-5*x^2
5*x^2-37*x+60
25*x-5*x^2
60-12*x
12*x-60
0
5*x-x^2-12 = 0
DELTA = 5^2-(-12*(-1)*4)
DELTA = -23
DELTA < 0
x in { 5}
x-5 = 0
(x-5)/(2*3*(x-2)*(x-3)) = 0
(x-5)/(2*3*(x-2)*(x-3)) = 0 // * 2*3*(x-2)*(x-3)
x-5 = 0
x-5 = 0 // + 5
x = 5
x = 5
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