Question

Which statement describes the solutions of this equation? x/x+2 + 1/x = 1

Answer 1

`(x)/(x+2)+\frac1x=1\\\rightarrow (x^2+(x+2))/((x^2+2x)=1\\\rightarrowx^2+x+2=x^2+2x\\\rightarrowx+2=2x\\\rightarrow x=\boxed2`

Only one solution, which is two. The answer should be C. You could obviously see that if there is no squaring then there will be no extraneous solutions.