1.
xy=34-(x+y),(x+y)^2-2xy=52
(x+y)^2+2(x+y)-120=0
x+y=10或-12
xy=24或46
x=6,y=4,或x=4,y=6,（x+y=-12,xy=46无解）
2.
x^4+x^2y^2+y^4=(x^2+y^2)^2-x^2y^2=(x^2+xy+y^2)(x^2-xy+y^2)=91
所以x^2+xy+y^2=13
=>x^2+y^2=10,xy=3
x=1,y=3或x=3,y=1或x=-1,y=-3或x=-3,y=-1