Question

已知4x+8/(x-1)(x-5)=m/(x-5) + n/(x-1) ,则m、n的值是多少

Answer 1

4x+8/(x-1)(x-5)=m/(x-5) + n/(x-1)

[4x+8]/(x-1)(x-5)=[m(x-1)+n(x-5)]/(x-1)(x-5)

4x+8=m(x-1)+n(x-5)

=(m+n)x-m-5n

m+n=4

-m-5n=8

n=-3

m=7