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D( x )
x^2-(9*x)+8 = 0
x-8 = 0
x-1 = 0
x^2-(9*x)+8 = 0
x^2-(9*x)+8 = 0
x^2-9*x+8 = 0
x^2-9*x+8 = 0
DELTA = (-9)^2-(1*4*8)
DELTA = 49
DELTA > 0
x = (49^(1/2)+9)/(1*2) or x = (9-49^(1/2))/(1*2)
x = 8 or x = 1
x-8 = 0
x-8 = 0
x-8 = 0 // + 8
x = 8
x-1 = 0
x-1 = 0
x-1 = 0 // + 1
x = 1
x in (-oo:1) U (1:8) U (8:+oo)
x/(x-1)-(9/(x-8)) = (1-8*x)/(x^2-(9*x)+8) // - (1-8*x)/(x^2-(9*x)+8)
x/(x-1)-(9/(x-8))-((1-8*x)/(x^2-(9*x)+8)) = 0
x/(x-1)-9*(x-8)^-1-((1-8*x)/(x^2-9*x+8)) = 0
x/(x-1)-9/(x-8)+(-1*(1-8*x))/(x^2-9*x+8) = 0
x^2-9*x+8 = 0
x^2-9*x+8 = 0
x^2-9*x+8 = 0
DELTA = (-9)^2-(1*4*8)
DELTA = 49
DELTA > 0
x = (49^(1/2)+9)/(1*2) or x = (9-49^(1/2))/(1*2)
x = 8 or x = 1
(x-1)*(x-8) = 0
x/(x-1)-9/(x-8)+(-1*(1-8*x))/((x-1)*(x-8)) = 0
(x*(x-8))/((x-1)*(x-8))+(-9*(x-1))/((x-1)*(x-8))+(-1*(1-8*x))/((x-1)*(x-8)) = 0
x*(x-8)-9*(x-1)-1*(1-8*x) = 0
x^2-17*x+8*x-1+9 = 0
x^2-9*x+8 = 0
x^2-9*x+8 = 0
x^2-9*x+8 = 0
DELTA = (-9)^2-(1*4*8)
DELTA = 49
DELTA > 0
x = (49^(1/2)+9)/(1*2) or x = (9-49^(1/2))/(1*2)
x = 8 or x = 1
(x-1)*(x-8) = 0
((x-1)*(x-8))/((x-1)*(x-8)) = 0
((x-1)*(x-8))/((x-1)*(x-8)) = 0 // * (x-1)*(x-8)
(x-1)*(x-8) = 0
( x-1 )
x-1 = 0 // + 1
x = 1
( x-8 )
x-8 = 0 // + 8
x = 8
x in { 1}
x in { 8}
x belongs to the empty set
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