Hi all, I need the proof of the following: If and are positive integers such that then either or is an even integer. I could be grateful if you help me. Raed
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If A and B are both odd, then C^2 is a multiple of 4. (It can't be even but not divisible by 4, right?) Then if you represent A and B as 2 times an even number plus 1, then the right-hand side is not divisible by 4.
Originally Posted by raed Hi all, I need the proof of the following: If and are positive integers such that then either or is an even integer. I could be grateful if you help me. Raed You could also try to prove that the squares of a pair of odd integers do not sum to an integer square... will have to be even, since Odd squares are Odd and Even squares are Even, hence C is Even. This needs to equal However, this is contradictory as the LHS is Odd.
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