1=1/(x-1)

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Solution for 1=1/(x-1) equation: 


D( x )

x-1 = 0

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:+oo)

1 = 1/(x-1) // - 1/(x-1)

1-(1/(x-1)) = 0

1-(x-1)^-1 = 0

1-1/(x-1) = 0

(1*(x-1))/(x-1)-1/(x-1) = 0

1*(x-1)-1 = 0

x-2 = 0

(x-2)/(x-1) = 0

(x-2)/(x-1) = 0 // * x-1

x-2 = 0

x-2 = 0 // + 2

x = 2

x = 2

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