若x/x2=m/(x-2)+n/(x-2)2,m,n的值答案需具体

Question

若x/x2=m/(x-2)+n/(x-2)2,m,n的值
答案需具体

Answer 1

x/x=m/(x-2)+n/(x-2) (x-2)/x=m(x-2)+n (x-2)=mx(x-2)+nx=mx+(n-2m)x x-4x+4=mx+(n-2m)x m=1 n-2m=-4,n=-2 最后说明下,题目是有问题的,因为4=0矛盾了,思路是对比系数