Wednesday, December 18, 2019

Express k as the sum of three square numbers


How do you express k as the sum of three square numbers, if

m2+3=2k


where both m and k are integers (both positive or negative if possible).




It is known that m must be an odd integer, positive or negative, so that k is an integer. It is also known that odd integers can be expressed as: 2n+1, where n is an integer. Thus, how do you express k as the sum of three square numbers?

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