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D( x )
x-3 = 0
(x-3)^2 = 0
x-3 = 0
x-3 = 0
x-3 = 0 // + 3
x = 3
(x-3)^2 = 0
(x-3)^2 = 0
x-3 = 0 // + 3
x = 3
x in (-oo:3) U (3:+oo)
(23-7*x)/((x-3)^2)+4/(x-3)+1 = 0
(23-7*x)/((x-3)^2)+(4*(x-3))/((x-3)^2)+(1*(x-3)^2)/((x-3)^2) = 0
4*(x-3)+1*(x-3)^2-7*x+23 = 0
x^2-3*x-6*x+9+11 = 0
x^2-9*x+20 = 0
x^2-9*x+20 = 0
x^2-9*x+20 = 0
DELTA = (-9)^2-(1*4*20)
DELTA = 1
DELTA > 0
x = (1^(1/2)+9)/(1*2) or x = (9-1^(1/2))/(1*2)
x = 5 or x = 4
(x-4)*(x-5) = 0
((x-4)*(x-5))/((x-3)^2) = 0
((x-4)*(x-5))/((x-3)^2) = 0 // * (x-3)^2
(x-4)*(x-5) = 0
( x-4 )
x-4 = 0 // + 4
x = 4
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 4, 5 }
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