Question

m为何值时,关于X的方程：2/（X-2）+MX/(X^2-4)=3/(x+2)有增根

Answer 1

2/[X-2]+MX/[X^2-4]=3/[X+2]

通分,去分母得:2(X+2)+MX=3(X-2)

2X+4+MX=3X-6

(M-1)X=-10

方程有增根x=2,

把X=2代入(M-1)X=-10,得

2(M-1)=-10

2M-2=-10

M=4