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

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Solution for (x-1)/((x^2)-1)=1 equation: 


D( x )

x^2-1 = 0

x^2-1 = 0

x^2-1 = 0

1*x^2 = 1 // : 1

x^2 = 1

x^2 = 1 // ^ 1/2

abs(x) = 1

x = 1 or x = -1

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

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

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

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

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

x-x^2 = 0

x-x^2 = 0

x*(1-x) = 0

1-x = 0 // - 1

-x = -1 // * -1

x = 1

x*(x-1) = 0

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

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

x*(x-1) = 0

( x-1 )

x-1 = 0 // + 1

x = 1

( x )

x = 0

x in { 1} 

x = 0

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