1/(x-7)+1/(x-8)=-1/(x-10)-1/(x-11)的解.

来源：学生作业帮助网 编辑：作业帮 时间：2024/05/09 07:49:26
1/(x-7)+1/(x-8)=-1/(x-10)-1/(x-11)的解.

1/(x-7)+1/(x-8)=-1/(x-10)-1/(x-11)的解.
1/(x-7)+1/(x-8)=-1/(x-10)-1/(x-11)的解.

1/(x-7)+1/(x-8)=-1/(x-10)-1/(x-11)的解.
∵1/(x-7)+1/(x-8)=-1/(x-10)-1/(x-11)
∴1/(x-7)+1/(x-8)+1/(x-10)+1/(x-11)=0
∴（x-7+x-8+x-10+x-11）/(x-7)(x-8)(x-10)(x-11)=0
∵分母不为0
∴(x-7)(x-8)(x-10)(x-11)不=0
∵ （x-7+x-8+x-10+x-11）/(x-7)(x-8)(x-10)(x-11)=0
∴x-7+x-8+x-10+x-11=0
∴4x-36=0
∴x=9