己知m/x一3一n/x+2二x+17/(x-3)(x+2)求常数m,n的值

Question

己知m/x一3一n/x+2二x+17/(x-3)(x+2)求常数m,n的值

Answer 1

先将左边通分（取分母）：mx+2m-nx+3n=x+17
合并同类项：（m-n)x+2m+3n=x+17
左右两边对应相等：m-n=1; 2m+3n=17
m=4,n=3