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D( x )
x-4 = 0
x-1 = 0
x-4 = 0
x-4 = 0
x-4 = 0 // + 4
x = 4
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:1) U (1:4) U (4:+oo)
(x+3)/(x-1)-1 = (x-5)/(x-4) // - (x-5)/(x-4)
(x+3)/(x-1)-((x-5)/(x-4))-1 = 0
(x+3)/(x-1)+(-1*(x-5))/(x-4)-1 = 0
((x+3)*(x-4))/((x-1)*(x-4))+(-1*(x-5)*(x-1))/((x-1)*(x-4))+(-1*(x-1)*(x-4))/((x-1)*(x-4)) = 0
(x+3)*(x-4)-1*(x-5)*(x-1)-1*(x-1)*(x-4) = 0
5*x-x^2+5*x-17-4 = 0
10*x-x^2-21 = 0
10*x-x^2-21 = 0
10*x-x^2-21 = 0
DELTA = 10^2-(-21*(-1)*4)
DELTA = 16
DELTA > 0
x = (16^(1/2)-10)/(-1*2) or x = (-16^(1/2)-10)/(-1*2)
x = 3 or x = 7
(x-3)*(x-7) = 0
((x-3)*(x-7))/((x-1)*(x-4)) = 0
((x-3)*(x-7))/((x-1)*(x-4)) = 0 // * (x-1)*(x-4)
(x-3)*(x-7) = 0
( x-3 )
x-3 = 0 // + 3
x = 3
( x-7 )
x-7 = 0 // + 7
x = 7
x in { 3, 7 }
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