Để `A=2` thì `\frac{x+2}{x-2}=2` (`x\ne2`)
`=> x+2=2(x-2)`
`=> x+2=2x-4`
`<=> x-2x=-4-2`
`<=> -x=-6`
`<=> x=6` (tm)
Vậy `x=6` thì `A=2`
\(Giả.sử.A=2\\ \Rightarrow\dfrac{x+2}{x-2}=2\\ \Rightarrow x+2=2\left(x-2\right)\\ x+2=2x-4\\ 2x-x=4+2\\ x=6\\ Vậy.x=6.thì.A=2\)