题目内容
已知:x+y="3" ,xy="1" ,试求:
(1)x2 + y2的值;
(2)(x-y)2的值.
(1)x2 + y2的值;
(2)(x-y)2的值.
7,5
(1)根据(x+y)2=x2+2xy+y2,变形即可;
(2)根据(x-y)2=(x+y)2-4xy,整体代入计算
解:(1)x2+y2
=(x+y)2-2xy
=9-2
=7;
(2)(x-y)2
=(x+y)2-4xy
=9-4
=5.
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