`color{#ffd0d0}{a}color{#ffdada}{n}color{#ffebd6}{h}color{#fff7e1}{t}color{#e6ffdd}{h}color{#d6f9ff}{u}color{#f0eaff}{w}`

`_` `_` `_` `_` `_`

`i,` `(x + 2)/(x - 2) -` `2/(x^2 - 2x) = 1/x`              đk `x` $\ne$ `0; x` $\ne$ `2`

`=>` `(x + 2)/(x - 2) -` `2/(x(x - 2)) = 1/x`

`=>` `(x(x + 2))/(x(x - 2)) -` `2/(x(x - 2)) = (x - 2)/(x(x - 2))`

`=>` `x^2 + 2x` `- 2 =` `x - 2`

`=>` `x^2 + 2x` `- x =` `-2 + 2`

`=>` `x^2 +` `x = 0`

`=>` `x(``x + 1``) = 0`

`=>` $\left[\begin{matrix} x=0(0 tm)\\ x+1=0\end{matrix}\right.$

`=>` `x = -1`

Vậy `x = -1`

`j,` `5/(-x^2 + 5x - 6) +` `(x + 3)/(2 - x) = 0`               đk `x` $\ne$ `2; x` $\ne$ `3`

`=>` `5/(-(x - 2) (x - 3))` `+ ((x + 3) (x - 3))/((2 - x) (x - 3)) = 0`

`=>` `5/((2 - x) (x - 3)) +` `((x + 3) (x - 3))/((2 - x) (x - 3)) = 0`

`=>` `(5 + x^2 - 9)/((2 - x) (x - 3)) = 0`

`=>` `(x^2 - 4)/((2 - x) (x - 3)) = 0`

`=>`` ((x - 2) (x + 2))/((2 - x) (x - 3)) = 0`

`=>` `((2 - x) (x + 2))/((2 - x) (3 - x)) = 0`

`=>` `(x + 2)/(3 - x) = 0`

`=>` `x +` `2 = 0`

`=>` `x = -2`

Vậy `x = -2`