Đáp án:
`↓↓↓`
Giải thích các bước giải:
`(2x+1)/(x-1)=(5(x-1))/(x+1)`
`ĐK: x ne +-1`
`=> (2x+1)(x+1)=(x-1).5(x-1)`
`<=> 2x^2+3x+1=5(x-1)^2`
`<=> 2x^2+3x+1=5(x^2-2x+1)`
`<=> 2x^2+3x+1=5x^2-10x+5`
`<=> 2x^2-5x^2+3x+10x=5-1`
`<=> -3x^2+13x=4`
`=> -3x^2+13x-4=0`
`=> -3x^2+12x+x-4=0`
`=> 3x(4-x)-(4-x)=0`
`=> (4-x)(3x-1)=0`
`=>` \(\left[ \begin{array}{l}4-x=0\\3x-1=0\end{array} \right.\)
`=>` \(\left[ \begin{array}{l}x=4\\x=\dfrac{1}{3}\end{array} \right.\)
