Question

三个连续奇数的平方和是一个4位数,且数字一样,求这三个连续奇数.

Answer 1

41,43,45或-45,-43,-41

设三个连续奇数是2n+1,2n+3,2n+5

则(2n+1)²+(2n+3)²+(2n+5)²=12n²+36n+35

令上式=5555,解得n=-23或20