Observe that 18 = 42 + 12 + 12 + 02.How many of the first fifteen_英语解答

Observe that 18 = 42 + 12 + 12 + 02.How many of the first fifteen positive integers can be written as the sum of the squares of four integers
马上要考试啦T 后面的四个数分别是是4的二次方,1的二次方,1的二次方,0的二次方,别看错了.

人气：471 ℃　时间：2020-01-28 15:11:19

解答

观察18=42+12+12+02.请问前十五正整数,有多少个数字可以写成4个整数的平方之和呢?1=12+02+02+022=12+12+02+023=12+12+12+024=12+12+12+12或4=22+02+02+025=22+12+02+02......13=32+22+02+0214=32+22+12+0215=32+22+1...