Question

已知：4x+1/(x-2)(x-5)=A/x-5+B/x-2,求A、B的值?

Answer 1

(4x+1)/(x-2)(x-5)=A/(x-5)+B/(x-2)

=> 4x+1 = A(x-2) +B(x-5)

put x=2

9 = -3B

B = -3

put x=5

21=3A

A =7