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D( x )
x-4 = 0
x-4 = 0
x-4 = 0
x-4 = 0 // + 4
x = 4
x in (-oo:4) U (4:+oo)
x-(1/(x-4))-4 = 0
x-(x-4)^-1-4 = 0
x-1/(x-4)-4 = 0
(x*(x-4))/(x-4)-1/(x-4)+(-4*(x-4))/(x-4) = 0
x*(x-4)-4*(x-4)-1 = 0
x^2-4*x-4*x-1+16 = 0
x^2-8*x+15 = 0
x^2-8*x+15 = 0
x^2-8*x+15 = 0
DELTA = (-8)^2-(1*4*15)
DELTA = 4
DELTA > 0
x = (4^(1/2)+8)/(1*2) or x = (8-4^(1/2))/(1*2)
x = 5 or x = 3
(x-3)*(x-5) = 0
((x-3)*(x-5))/(x-4) = 0
((x-3)*(x-5))/(x-4) = 0 // * x-4
(x-3)*(x-5) = 0
( x-3 )
x-3 = 0 // + 3
x = 3
( x-5 )
x-5 = 0 // + 5
x = 5
x in { 3, 5 }
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