Question

分式方程求A B值

X—2的平方分之X+3等于X—2分之A+X-2分之B的平方 求AB~

Answer 1

根据“X-2分之B的平方”有一下两种情况 情况一： (X+3)/(X-2)=A/(X-2)+[B/(X-2)] (X+3)/(X-2)=A(X-2)/(X-2)+B/(X-2) (X+3)/(X-2)=(AX-2A+B)/(X-2) X+3=AX-2A+B A=1 3=-2A+B B=±√5 ________________________________ 情况二： (X+3)/(X-2)=A/(X-2)+B/(X-2) (X+3)/(X-2)=A(X-2)/(X-2)+B/(X-2) (X+3)/(X-2)=(AX-2A+B)/(X-2) X+3=AX-2A+B A=1 3=-2A+B B=5