若整数x、y满足等式x눀+y눀+2xy+7=2x+2y,则x+y=

2025-06-21 23:25:28
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回答1:

答:
整数x和y满足:x²+y²+2xy+7=2x+2y
(x+y)²-2(x+y)+7=0
(x+y-1)²+6=0
因为:x和y是整数,x+y-1是整数
所以:(x+y-1)²>=0
所以:x+y无解