Question

已知(5x-4)/(x-5)(x+2)=A/(x-5)+B/(x+2) 求A和B的值

Answer 1

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

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

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

∴﹛A+B=5

2A-5B=-4

∴A=3, B=2