Algebra

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by palvarez » Wed Nov 18, 2009 3:02 pm
chipbmk wrote:
palvarez wrote:
heshamelaziry wrote:If m, n, and p are integers, is m + n odd?

(1) m = p^2 + 4p + 4

(2) n = p^2 + 2m + 1

Not sure how go about this one ?

Rephrase it

m+n = 1 (mod 2)


1. m = p^2 + 4p +4
m = p^2 (mod 2)

2. n = p^2 + 1 (mod 2)


m +n = 2p^2 + 1 = 1 (mod 2).

Get rid of the junk in "rephrasing phase" itself. Carrying it over creates all troubles.
Can you explain what you mean when you write "(mod 2)"

Thanks!

https://en.wikipedia.org/wiki/Modular_arithmetic