已知实数m n满足:m/x-1+n/x+2=2x+7/(x-1)(x+2).求m和n

已知实数m n满足:m/x-1+n/x+2=2x+7/(x-1)(x+2).求m和n
已知实数m n满足:m/x-1+n/x+2=2x+7/(x-1)(x+2).求m和n

已知实数m n满足:m/x-1+n/x+2=2x+7/(x-1)(x+2).求m和n
m/(x-1)+n/(x+2)=2x+7/(x-1)(x+2)
[m(x+2)+n(x-1)]/(x-1)(x+2)=(2x+7)/(x-1)(x+2)
(m+n)x+(2m-n)=2x+7
x对应系数相等所以
m+n=2
2m-n=7
解得m=3,n=-1