试题与答案

已知x+y=6,xy=8,则x2+y2=______,(x-y)2=______

题型:填空题

题目:

已知x+y=6,xy=8,则x2+y2=______,(x-y)2=______.

答案:

∵x+y=6,

∴x2+2xy+y2=36,

∵xy=8,

∴x2+y2=36-2×8=20;

∴(x-y)2=x2-2xy+y2=20-2×8=4.

故答案为:x2+y2=20,(x-y)2=4.

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