2/(x-2)+mx/(x+2)(x-2)=3/(x+2)
两边乘(x+2)(x-2)
2(x+2)+mx=3(x-2)
增根即公分母为0
所以x=-2,x=2
x=-2
代入2(x+2)+mx=3(x-2)
0-2m=-12
m=6
x=2
代入2(x+2)+mx=3(x-2)
8+2m=0
m=-4
m=-4,m=6