Question

当m为何值时分式方程x-2分之2加m等于2-x分之1-x有解?

Answer 1

(2+m)/(x-2)=(1-x)/(2-x)

移项合并得：[(2+m)+(1-x)]/(x-2)=0 要有解

则：分母不为0,则方程的唯一解为分子为0

得：2+m+1-x=0

x=3+m 方程成立前提：分母不为0

即 x-2≠0

3+m-2≠0

m≠1时