Question

解方程:x-3分之1=3-x 分之1-x-2

Answer 1

1/(x-3)=(1-x)/(3-x) -2
1/(x-3)=(x-1)/(x-3) -2
(x-1)/(x-3) -1/(x-3)=2
(x-1-1)/(x-3)=2
(x-2)/(x-3)=2
x-2=2x-6
x=4
代入分式方程检验,分母均不等于0,x=4是分式方程的解.
x=4