[tex] \frac{x^2-1}{x} =x^2- \frac{1}{x} \\ \\ \frac{x^2}{x}- \frac{1}{x}=x^2- \frac{1}{x} \\ \\ x- \frac{1}{x}=x^2- \frac{1}{x} \\ \\ x- \frac{1}{x}-x^2+ \frac{1}{x}=0 \\ \\ x-x^2=0 \\ \\ x(1-x)=0 ,~insa~x \neq 0 \Rightarrow \boxed{x=1}~. \\ \\ \underline{Solutie}: x =1.[/tex]
