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D( x )
x-3 = 0
x-1 = 0
x-3 = 0
x-3 = 0
x-3 = 0 // + 3
x = 3
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:1) U (1:3) U (3:+oo)
(2*x)/(x-3)+5/(x-1) = 1 // - 1
(2*x)/(x-3)+5/(x-1)-1 = 0
(2*x*(x-1))/((x-3)*(x-1))+(5*(x-3))/((x-3)*(x-1))+(-1*(x-3)*(x-1))/((x-3)*(x-1)) = 0
2*x*(x-1)+5*(x-3)-1*(x-3)*(x-1) = 0
2*x^2-x^2+3*x+4*x-15-3 = 0
x^2+7*x-18 = 0
x^2+7*x-18 = 0
x^2+7*x-18 = 0
DELTA = 7^2-(-18*1*4)
DELTA = 121
DELTA > 0
x = (121^(1/2)-7)/(1*2) or x = (-121^(1/2)-7)/(1*2)
x = 2 or x = -9
(x+9)*(x-2) = 0
((x+9)*(x-2))/((x-3)*(x-1)) = 0
((x+9)*(x-2))/((x-3)*(x-1)) = 0 // * (x-3)*(x-1)
(x+9)*(x-2) = 0
( x+9 )
x+9 = 0 // - 9
x = -9
( x-2 )
x-2 = 0 // + 2
x = 2
x in { -9, 2 }
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