问题
填空题
如果x+y=5,xy=4,那么x2+y2=______,(x-y)2=______.
答案
∵x+y=5,xy=4,
∴x2+y2=(x+y)2-2xy=25-8=17;
(x-y)2=(x+y)2-4xy=25-16=9.
故答案为:17,9.
如果x+y=5,xy=4,那么x2+y2=______,(x-y)2=______.
∵x+y=5,xy=4,
∴x2+y2=(x+y)2-2xy=25-8=17;
(x-y)2=(x+y)2-4xy=25-16=9.
故答案为:17,9.