问题
填空题
若x+y=1,xy=-2,则x2+y2=______;(x-y)2=______.
答案
∵x+y=1,xy=-2,
∴x2+y2=(x+y)2-2xy=12-2×(-2)=5;
(x-y)2=(x+y)2-4xy=12-4×(-2)=9.
故答案为5,9.
若x+y=1,xy=-2,则x2+y2=______;(x-y)2=______.
∵x+y=1,xy=-2,
∴x2+y2=(x+y)2-2xy=12-2×(-2)=5;
(x-y)2=(x+y)2-4xy=12-4×(-2)=9.
故答案为5,9.