已知,A/(x+2)+B/(2x-3)=(5x-11)/(2x^2+x-6)
问题描述：
已知,A/(x+2)+B/(2x-3)=(5x-11)/(2x^2+x-6)
求A、B的值
答
a(2x-3)/(x+2)(2x-3)+b(x+2)/(x+2)(2x-3)=(5x-11)/(x+2)(2x-3)[a(2x-3)+b(x+2)]/(x+2)(2x-3)=(5x-11)/(x+2)(2x-3)a(2x-3)+b(x+2)=5x-112ax+bx-3a+2b=5x-11(2a+b)x+(2b-3a)=5x-112a+b=5①2b-3a=-11②①×24a+2b=10③...