问题
填空题
已知x+y=12,xy=9,且x<y,则
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答案
由题设0<x<y
∵xy=9,∴
=3xy
∴x+y-2
=(xxy
-y1 2
)2=12-6=61 2
x+y+2
=(xxy
+y1 2
)2=12+6=181 2
∴x
-y1 2
=-1 2
,x6
+y1 2
=31 2 2
∴
=x
-y1 2 1 2 x
+y1 2 1 2
=-- 6 3 2 3 3
故答案为:-3 3