解分式方程：(5-x)/(x-4)+1/(4-x)=1

Question

解分式方程：(5-x)/(x-4)+1/(4-x)=1

Answer 1

(5-x)/(x-4)+1/(4-x)=1
(5-x)/(x-4)-1/(x-4)=1
两边乘x-4
5-x-1=x-4
2x=8
x=4
分式方程要检验
经检验,x=4使分母为0,是增根,舍去
所以方程无解