Answer to Question #278681 in Algebra for James

Question

solve the equation for x belongs to R x/x-1 is equal to x + 1/x-2

Answer 1

$\frac{x}{x-1}=\frac{x+1}{x-2}$

$x^2-2x=x^2-1$

$2x=1$

$x=1/2$