Toán 7) 1/x+2 – 1/x-2 = 3x-12/x^2-4 8) 2/x-1 + 1/x+1 = 2x-1/x^2-1 17/10/2021 By Gabriella 7) 1/x+2 – 1/x-2 = 3x-12/x^2-4 8) 2/x-1 + 1/x+1 = 2x-1/x^2-1
$#DYHUN$ `1/(x+2)-1/(x-2)=(3x-12)/(x²-4) (1)` `ĐKXĐ:x`$\neq$`±2` `(1)⇔(x-2)/((x-2)(x+2))-(x+2)/((x-2)(x+2))=(3x-12)/((x-2)(x+2))` `⇒x-2-x-2=3x-12` `⇔x-x-3x=2+2-12` `⇔-3x=-8` `⇔x=8/3` Vậy`S={8/3}` …………………………………………. `2/(x-1)+1/(x+1)=(2x-1)/(x²-1) (1)` `ĐKXĐ:x`$\neq$`±1` `(1)⇔(2(x+1))/((x-1)(x+1))+(x-1)/((x-1)(x+1))=(2x-1)/((x-1)(x+1))` `⇒2x+2+x-1=2x-1` `⇔2x-2x+x=1-1-2` `⇔x=-2` Vậy `S={2}` Trả lời
$#DYHUN$
`1/(x+2)-1/(x-2)=(3x-12)/(x²-4) (1)`
`ĐKXĐ:x`$\neq$`±2`
`(1)⇔(x-2)/((x-2)(x+2))-(x+2)/((x-2)(x+2))=(3x-12)/((x-2)(x+2))`
`⇒x-2-x-2=3x-12`
`⇔x-x-3x=2+2-12`
`⇔-3x=-8`
`⇔x=8/3`
Vậy`S={8/3}`
………………………………………….
`2/(x-1)+1/(x+1)=(2x-1)/(x²-1) (1)`
`ĐKXĐ:x`$\neq$`±1`
`(1)⇔(2(x+1))/((x-1)(x+1))+(x-1)/((x-1)(x+1))=(2x-1)/((x-1)(x+1))`
`⇒2x+2+x-1=2x-1`
`⇔2x-2x+x=1-1-2`
`⇔x=-2`
Vậy `S={2}`