(x+2005)/ (x+2004)+(x+2007)/(x+2006)=(x+2008)/(x+2007)+(x+2004）/（_数学解答

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

人气：394 ℃　时间：2019-08-22 10:04:22

解答

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....