Let A＝.abcd be a four-digit number．If .400abcd is a square of an integer，then A=_或 _．（英汉词典：four-digit number 四位数；square平
Let A＝
be a four-digit number．If
is a square of an integer，then A=______或 ______．（英汉词典：four-digit number 四位数；square平方、平方数；integer整数）
| . |
| abcd |
| . |
| 400abcd |
数学人气：500 ℃时间：2019-10-26 05:13:41
优质解答
∵.400abcd是完全平方的整数，4000000≤.400abcd≤4009999，不妨设.400abcd=（2000+k）2，而.400abcd=4000000+.abcd，（2000+k）2=4000000+4000k+k2，即.abcd=4000k+k2，则k=0、1或2，（0不合要求，舍去），因此A=40...
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