待定系数法解题用待定系数法确定(-x+10)/(x+1)(x+2)=A/(x+1)+B/(x+2)中的A,

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/23 07:03:40
待定系数法解题用待定系数法确定(-x+10)/(x+1)(x+2)=A/(x+1)+B/(x+2)中的A,待定系数法解题用待定系数法确定(-x+10)/(x+1)(x+2)=A/(x+1)+B/(x+

待定系数法解题用待定系数法确定(-x+10)/(x+1)(x+2)=A/(x+1)+B/(x+2)中的A,
待定系数法解题
用待定系数法确定(-x+10)/(x+1)(x+2)=A/(x+1)+B/(x+2)中的A,

待定系数法解题用待定系数法确定(-x+10)/(x+1)(x+2)=A/(x+1)+B/(x+2)中的A,
A/(x+1)+B/(x+2)=A(X+2)+B(X+1)/(X+1)(X+2)=(AX+BX+2A+B)/(X+1)(X+2)
所以A+B=-1
2A+B=10
解得:A=11
B=-12

此题可化简为:
10-x=A(X+2)+B(x+1) (x不=-1,-2)
10-x=Ax+2A+Bx+B
则可用待定系数法:
A+B=-1
2A+B=10
得A=11
B=-12