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已知x2-8x+y2-y+16
1
4
=0,求[(x+y)(x-y)-(x+y)2-2y(x-3y)]÷4y的值.
人气:271 ℃ 时间:2020-05-02 06:36:41
解答
x2-8x+y2-y+16
1
4
=0,
(x-4)2+(y-
1
2
2=0,
x-4=0,y-
1
2
=0,
x=4,y=
1
2

[(x+y)(x-y)-(x+y)2-2y(x-3y)]÷4y
=[x2-y2-x2-y2-2xy-2xy+6y2]÷4y
=[4y2-4xy]÷4y
=y-x
=
1
2
-4
=-3
1
2
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