解方程1/x^2-2x-3 + 2/x^2-x-6 + 3/x^2+3x+2=0
问题描述:
解方程1/x^2-2x-3 + 2/x^2-x-6 + 3/x^2+3x+2=0
答
1/x^2-2x-3 + 2/x^2-x-6 + 3/x^2+3x+2=0
1/(x+1)*(x-3)+1/(x+2)*(x-3)+1/(x+1)*(x+2)=0
所以x不等于-1,x不等于-2且x不等于3
(x+2+x+1x+-3)/(x+1)*(x+2)*(x-3)=0
3*x/(x+1)*(x+2)*(x-3)=0
所以x=0