解分式方程x/(x+1)+(x+1)/x=-2(提示:用换元法,令y=x/x-1
问题描述:
解分式方程x/(x+1)+(x+1)/x=-2(提示:用换元法,令y=x/x-1
答
y+1/y=-2 ;y^2+1=-2y; y^2+2y+1=0;(y+1)^2=(x/(x-1)+1)^2.
解分式方程x/(x+1)+(x+1)/x=-2(提示:用换元法,令y=x/x-1
y+1/y=-2 ;y^2+1=-2y; y^2+2y+1=0;(y+1)^2=(x/(x-1)+1)^2.