题目内容
已知x+y=3,xy=2,求下列式子的值
(1)x2+y2;
(2)(x-y)2;
(3)x-y.
(1)x2+y2;
(2)(x-y)2;
(3)x-y.
(1)x2+y2=(x+y)2-2xy
=32-2×2
=5;
(2)(x-y)2=(x+y)2-4xy
=32-4×2
=1;
(3)∵(x-y)2=1,
∴x-y=±1.
=32-2×2
=5;
(2)(x-y)2=(x+y)2-4xy
=32-4×2
=1;
(3)∵(x-y)2=1,
∴x-y=±1.
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