Đáp án:
`x=-1/3`
Giải thích các bước giải:
ĐK: `x\ne1;x\ne3`
`(x+1)/(x-1)=(x+2)/(x-3)`
`⇔((x+1)(x-3))/((x-1)(x-3))=((x+2)(x-1))/((x-1)(x-3))`
`⇒(x+1)(x-3)=(x+2)(x-1)`
`⇔x^2-3x+x-3=x^2-x+2x-2`
`⇔x^2-2x-3=x^2+x-2`
`⇔x^2-2x-x^2-x=-2+3`
`⇔-3x=1`
`⇔x=-1/3(TM)`
Vậy `x=-1/3`
`d)` `(x+1)/(x-1) =(x+2)/(x-3)` `(xne1;xne3)``=>((x+1)(x-3))/((x-1)(x-3))=((x+2)(x-1))/((x+1)(x-3))``=>(x+1)(x-3)=(x+2)(x-1)``=>x^2-3x+x-3=x^2-x+2x-2``=>x^2-2x-x^2-x=-2+3``=>-3x=1``=>x=-1/3` `(tm)`
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ai giải hộ với ạ đề bài tìm txđ
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