Question

解方程:(x-1)/(x²-2x)+x(2-x)=1/x

Answer 1

(x-1)/(x²-2x)+x/(2-x)=1/x

(x-1)/[x(x-2)]-x/(x-2)=1/x

x-1-x²=x-2

x²=1

x1=1 x2=-1

经检验都是原方程的根