1÷(x~1)-1÷(x-2)=1÷(x-3)-1÷(x-4)过程要详细!1÷(x~1)-1÷(x-2)=1÷(x-3)-1÷(x-4)怎么解?

来源:学生作业学帮网 编辑:学帮网 时间:2024/05/30 23:38:54

1÷(x~1)-1÷(x-2)=1÷(x-3)-1÷(x-4)过程要详细!
1÷(x~1)-1÷(x-2)=1÷(x-3)-1÷(x-4)怎么解?


(x-2-x+1)/[(x-1)*(x-2)]=(x-4-x+3)/[(x-3)*(x-4)]
-1/[(x-1)*(x-2)]=-1/[(x-3)*(x-4)]
即:(x-1)*(x-2)=(x-3)*(x-4)
解方程:4x=10
x=2.5