(3-x)/(1-x)-(5-x)/(7-x)=1-(x^2-2)/(x^2-8x+7)我没算出来_数学解答

(3-x)/(1-x)-(5-x)/(7-x)=1-(x^2-2)/(x^2-8x+7)
我没算出来

人气：257 ℃　时间：2020-09-18 18:43:06

解答

(x-3)/(x-1)-(x-5)/(x-7)=(x^2-8x+7-x^2+2)/(x-1)(x-7)
两边乘(x-1)(x-7)
x^2-10x+21-x^2+6x-5=-5x+9
-4x+16=-5x+9
x=-7
分式方程要检验
经检验x=-7是方程的根