X^2-3x/x^2-1+2x-1/x-1=0

来源:百度知道 编辑:UC知道 时间:2024/06/20 04:34:49

(x^2-3x)/(x^2-1)+(2x-1)/(x-1)=0
[(x^2-3x)+(2x-1)(x+1)]/(x+1)(x-1)=0
(x^2-3x)+(2x-1)(x+1)=0
x^2-3x+2x^2+x-1=0
3x^2-2x-1=0
(x-1)(3x+1)=0
x=1,x=-1/3
分式方成要检验
经检验
x=1使分母为0,舍去
所以x=-1/3

(X^2-3x)/(x^2-1)+(2x-1)/(x-1)=0
(X^2-3x)/(x^2-1)+[(2x-1)(x+1)]/(x^2-1)=0
x^2-3x+(2x-1)(x+1)=0,x不=1或-1

x^2-3x+2x^2+x-1=0
(x-1)(3x+1)=0
x=1或x=-1/3
因为x不=1或-1

所以x=-1/3