Hi. I'm having trouble with these problems. p is and odd prime for both. Prove x = 0 mod p if x = -x mod p. Prove x = +/-y mod p^2 if x^2 = y^2 mod p^2, neither x nor y are 0 mod p. Thanks...
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Originally Posted by cryptocrow Hi. I'm having trouble with these problems. p is and odd prime for both. Prove x = 0 mod p if x = -x mod p. Prove x = +/-y mod p^2 if x^2 = y^2 mod p^2, neither x nor y are 0 mod p. Thanks... Suppose , and , then there exist and such that: Also: So if then , or , but is an odd prime which is a contradiction, so our premis fails and . RonL
Thanks a lot, i see where i went wrong.
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