(3)已知3x-4/(x+1)(x-2)=A/x-1 + B/x-2.求实数A.
问题描述:
(3)已知3x-4/(x+1)(x-2)=A/x-1 + B/x-2.求实数A.
原式,3x-4/(x+1)(x-2)=A(x-2)/(x+1)(x-2)+B(x+1)/(x+1)(x-2) 3x-4/(x+1)(x-2)=Ax-2A+Bx+B/(x+1)(x-2) 所以A+B=3 -2A+B=-4 请问,如何得知A+B=3 -2A+B=-4?
答
看,这道题实际上你已经解得差不多了哦.3x-4/(x+1)(x-2)=A(x-2)/(x+1)(x-2)+B(x+1)/(x+1)(x-2) 3x-4/(x+1)(x-2)=Ax-2A+Bx+B/(x+1)(x-2) 我们来观察下上面这个式子:3x-4/(x+1)(x-2)=Ax-2A+Bx+B/(x+1)(x-2) 等号两边的...