解方程:x-2分之x-1=2-5分之x-3

问题描述:

解方程:x-2分之x-1=2-5分之x-3

(x-1)/(x-2)=2-(x-3)/5
5(x-1)=10(x-2)-(x-3)(x-2)
5x-5=10x-20-x²+5x-6
x²-10x+21=0
(x-3)(x-7)=0
x=3或x=7