解分式方程(y+3)/(y^2+y)-1/(1-y)=4/y要过程
问题描述:
解分式方程(y+3)/(y^2+y)-1/(1-y)=4/y要过程
答
(y+3)/(y^2+y)-1/(1-y)=4/y(y+3)/(y^2+y)+1/(y-1)=4/y两边乘y(y+1)(y-1)(y-1)(y+3)+y(y+1)=4(y+1)(y-1)y^2+2y-3+y^2+y=4y^2-42y^2-3y-1=0y=(3±√17)/4分式方程要检验经检验,y=(3+√17)/4和y=(3-√17)/4是方程的解...