分式方程:1/(x-2)+1/x-7=1/(x-1)+1/(x-8)的解是
问题描述:
分式方程:1/(x-2)+1/x-7=1/(x-1)+1/(x-8)的解是
答
因为1/(x-7)-1/(x-8)=1/(x-1)-1/(x-2),通分得:(x-7)(x-8)=(x-1)(x-2)
展开整理:13x=53,所以x=9/2
经检验x=9/2是方程的解.