解分式方程:2x/2x+5−5/5x−2=1.

问题描述:

解分式方程:

2x
2x+5
5
5x−2
=1.

2x2x+5−55x−2=1.2x(5x−2)(2x+5)(5x−2)−5(2x+5)(2x+5)(5x−2)=1,2x(5x−2)−5(2x+5)(2x+5)(5x−2)=1,10x2-14x-25=10x2+21x-10,-35x=15,x=-37,检验:把x=-37代入(2x-5)(5x-2)≠0,∴x=-37是原方程的解...