[latex]1- \frac{4}{x}= \frac{5}{x ^{2}}[/latex]

[latex]1- \frac{4}{x}= \frac{5}{x^2},x \neq 0; \frac{x^2-4x}{x^2}= \frac{5}{x^2} \\ x^{2}-4x=5 \\ (x-2)^2-4-5=0 \\ (x-2)^2=9 \\ x-2=-3;x=2-3;x=-1 \\ x-2=3;x=3+3;x=5; \\ x_{1}=-1;x_{2}=5[/latex]