x/(x+1)=2x/(3x+3)+1 解出来等于多少啊!

问题描述:

x/(x+1)=2x/(3x+3)+1 解出来等于多少啊!

x/(x+1)=2x(3x+3)+1
1-1/(x+1)=2/3-2/(3x+3)+1
-2/3=1/(3x+3)
x+1=-1/2
x=-3/2

x=-3/2

通分得,
x/(1+x)=(5x+3)/(3x+3),x≠-1,即
3x^2+3x=5x^2+8x+3,
2x^2+5x+3=0,
解得x=-3/2或x=-1(舍),
所以,x=-3/2.