(x^2-4)/(x-1)=x-2

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Solution for (x^2-4)/(x-1)=x-2 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)

(x^2-4)/(x-1) = x-2 // - x-2

(x^2-4)/(x-1)-x+2 = 0

(x^2-4)/(x-1)+(-x*(x-1))/(x-1)+(2*(x-1))/(x-1) = 0

2*(x-1)-x*(x-1)+x^2-4 = 0

x+2*x-4-2 = 0

3*x-6 = 0

(3*x-6)/(x-1) = 0

(3*x-6)/(x-1) = 0 // * x-1

3*x-6 = 0

3*x-6 = 0 // + 6

3*x = 6 // : 3

x = 6/3

x = 2

x = 2

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