数学题if the sun of a 4-digit natural

来源：百度知道编辑：UC知道时间：2024/05/28 08:30:14

if the sun of a 4-digit natural number and 17,the difference between it and 72 are all square numbers,then the 4-digit nutural number is

如果1个4位数a，满足a＋17和a－72均为完全平方数，求该四位数a。
假设a+17＝M^2
a-72=N^2
则：17+72＝M^2－N^2＝（M+N）（M-N）＝89
而89显然为89×1 （要满足M+N,M-N为整数）
所以M+N=89 M-N=1
所以M=45 N=44
所以a+17＝45^2
a=45^2-17=2008

The sun looks like a big ball of fire. If yoou were a teardrop;I would never cry and if the golden sun,should cease I wonder if that's a lot of people for the size of the country The sun at the palm of my hand , perhaps it is just like a moon . Conjure One Center Of the Sun 歌词 I will buy a pair of shoes if the store ____(open) soon. if you won a lottery of one million dollars, what would you spend the money on？ what will you get if you cut the head of a driver/ 求求高手看看，拜托了：If you’re a member of the Media we provide a limited .. If the virus of bird flu continues to grow at a fast speed, it could become a bigger ___