问题 解答题

已知x+y=5,xy=3.

求:(1)x2+y2(2)(x-y)2

答案

(1)x2+y2=x2+y2+2xy-2xy,

=(x+y)2-2xy,

=25-6,

=19;

(2)(x-y)2=x2+y2+2xy-4xy,

=(x+y)2-4xy,

=25-12,

=13.

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