x的平方-1分之4x=x+1分之A - x-1分之B,A+B=

问题描述:

x的平方-1分之4x=x+1分之A - x-1分之B,A+B=
过程,急

4x/(x^2-1)
=A/(x+1)-B/(x-1)
=(Ax-A-Bx-B)/(x^2-1)
=[(A-B)x-(A+B)]/(x^2-1)
A-B=4
A+B=0
A=2
B=-2
A+B=0