(x+2005)/ (x+2004)+(x+2007)/(x+2006)=(x+2008)/(x+2007)+(x+2004)/(x+2003) 解方程

问题描述:

(x+2005)/ (x+2004)+(x+2007)/(x+2006)=(x+2008)/(x+2007)+(x+2004)/(x+2003) 解方程

各分式减1,得1/(x+2004)+1/(x+2006)=1/(x+2007)+1/(x+2003),通分得(2x+4010)/[(x+2004)(x+2006)]=(2x+4010)/[(x+2003)(x+2007)],两边的分母不等,∴2x+4010=0,x=-2005.检验知,它是原方程的根....