A={x2-3x+2=o},B={x2-ax+(a-1)=0},c={x2-mx+2}.满足A∩B=B,A∪C=A,求a,m的值

A={x2-3x+2=o},B={x2-ax+(a-1)=0},c={x2-mx+2}.满足A∩B=B,A∪C=A,求a,m的值

A={x^2-3x+2=o}
A={x=2或者x=1}
B={x^2-ax+(a-1)=0}
x^2-ax+(a-1)=0
(x-a+1)(x-1)=0
B={x=a-1或者x=1}
因为A∩B=B,即B属于A
所以a-1=2或者a-1=1
a=3或者a=2
A∪C=A即C属于A
将x=2或者x=1代入x2-mx+2
得m=3