已知:(x+y)2=1,(x-y)2=17,则x2+y2=_,xy=_.

问题描述:

已知:(x+y)2=1,(x-y)2=17,则x2+y2=___,xy=___

∵(x+y)2=x2+y2+2xy=1,(x-y)2=x2+y2-2xy=17,
∴x2+y2=9,xy=-4.
故答案为:9;-4.