(x,y)=(0,0),(1,0),(0,1),(p,q)
(ap+bq)^2-a^2p-b^2q=0
a=0
b^2q^2-b^2q=0
b≠0
q=0,1
(p,q)=(p,0),(p,1) NG
b=0
a^2p^2-a^2p=0
a≠0
p=0,1
(p,q)=(0,q),(1,q) NG
a=b≠0
p^2+2pq+q^2-p-q=0 NG
(x,y)=(0,0),(1,0),(1,1),(p,q)
(p,q)=(p,0),(p,1),(0,q)(1,q) NG
p^2-2pq+q^2-p+q=0 NG