问题 填空题
已知x=
1
2-
3
y=
1
2+
3
,则x+y-
xy
=______.
答案

x=

1
2-
3
=
2+
3
(2-
3
)(2+
3)
=2+
3
y=
1
2+
3
=
2-
3
(2+
3
)(2-
3
)
=2-
3

x+y-

xy
=2+
3
+2-
3
-
(2+
3)(2-
3
)

=4-1,

=3.

故答案为3.

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