题目内容
已知实数x、y满足2x2-4xy+4y2-6x+9=0,则
=______.
| x | 18y |
2x2-4xy+4y2-6x+9,
=x2-4xy+4y2+x2-6x+9,
=(x-2y)2+(x-3)2=0,
∴x-2y=0,x-3=0,
解得x=3,y=
,
∴
=
=
=3.
故答案为:3.
=x2-4xy+4y2+x2-6x+9,
=(x-2y)2+(x-3)2=0,
∴x-2y=0,x-3=0,
解得x=3,y=
| 3 |
| 2 |
∴
| x | 18y |
| 3 | 18×
| ||
| 3 | 27 |
故答案为:3.
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