已知集合A={(x,y)|(y-2)/(x-1)=a+2,x,y∈R},B={(x,y)|(a²-4)x+(a-2)y=16,x,y∈R},若A∩B=∅,则a=________.

已知集合A={(x,y)|(y-2)/(x-1)=a+2,x,y∈R},B={(x,y)|(a²-4)x+(a-2)y=16,x,y∈R},若A∩B=∅,则a=________.
已知集合A={(x,y)|(y-2)/(x-1)=a+2,x,y∈R},B={(x,y)|(a²-4)x+(a-2)y=16,x,y∈R},若A∩B=∅,则a=________.

已知集合A={(x,y)|(y-2)/(x-1)=a+2,x,y∈R},B={(x,y)|(a²-4)x+(a-2)y=16,x,y∈R},若A∩B=∅,则a=________.
对于x,y∈R,A∩B=空集
=>
x无解或x=1
x无解
aa-4=0
a=2,-2
x=1
=>
aa+a-22=0
=>
a=(-1+√89)/2,(-1-√89)/2
不懂再问.