(4x+1)/(x-5)(X-2)=(m(X-2)+n(x-5))/(x-5)(x-2)
4x+1=m(x-2)+n(X-5)
4x+1=(m+n)X-2m-5n
--->m+n=4 -(2m+5n)=1
--->m+n=4 (2m+2n)+3n=-1
--> n=-3 m=7