If you add 100 to a positive integer, it is a perfect square number. If you add 168, it is another perfect square number Who can know the answer, please write down the process

If you add 100 to a positive integer, it is a perfect square number. If you add 168, it is another perfect square number Who can know the answer, please write down the process

Let this number be m, then 100 + M = 10 ^ 2 + 20n + n ^ 2, that is: M = 20n + n ^ 2; 168 + M = 10 ^ 2 + 68 + M = 10 ^ 2 + 68 + n ^ 2 + 20n = 10 ^ 2 + 20x + x ^ 2 68 + n ^ 2 + 20n = 20x + x ^ 2 x ^ 2-N ^ 2 + 20 (x-n) = 68 (x-n) * (x + n) + 20 (x-n) = 68 (x-n) *