x/3+x-x/2-x=2 x+1/x-2+1/x+1=1
问题描述:
x/3+x-x/2-x=2 x+1/x-2+1/x+1=1
答
x/(3+x)-x/(2-x)=2
x/(3+x)-x/(2-x)=2
故:(x+3-3)/(3+x)+(2-x-2)/(2-x)=2
故:1-3/(3+x)+1-2/ (2-x)=2
故:-3/(3+x)=2/ (2-x)
故:-3(2-x)=2(3+x)
故:x=12
经检验,x=12是原方程的根
(x+1)/(x-2)+1/(x+1)=1
(x+1)/(x-2)+1/(x+1)=1
故:(x-2+3)/(x-2)+1/(x+1)=1
故:1+3/(x-2)+1/(x+1)=1
故:3/(x-2)=- 1/(x+1)
故:3(x+1)=- (x-2)
故:x=-1/4
经检验,x=-1/4是原方程的根