a^2b^2+a^2+b^2+1=4ab((ab)^2-2ab+1)+(a^2-2ab+b^2)=0(ab-1)^2+(a-b)^2=0therefore,ab-1=0 and a-b=0ab=1 and a=ba=b=1 or a=b=-1When a=1, a^2-3a+1=-1when a=-1, a^2-3a+1=5