问题
填空题
若(x+y)2=17,(x-y)2=3,则
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答案
(x+y)2=x2+2xy+y2=17①,(x-y)2=x2-2xy+y2=3②,
①+②得:x2+y2=10,①-②得:xy=
,7 2
则
+y x
=x y
=x2+y2 xy
=10 7 2
.20 7
故答案为:20 7
若(x+y)2=17,(x-y)2=3,则
|
(x+y)2=x2+2xy+y2=17①,(x-y)2=x2-2xy+y2=3②,
①+②得:x2+y2=10,①-②得:xy=
,7 2
则
+y x
=x y
=x2+y2 xy
=10 7 2
.20 7
故答案为:20 7