- #1
Firepanda
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Show that N(a+bi) = even => a+bi divisible by 1+i
So, N(a+bi) = a2+b2 = even
so 2 divides a2+b2
Write 2 = (1+i)(1-i)
so we have 1+i divides a2+b2
so 1+i divides either (a+bi) or (a-bi)
if 1+i divides a+bi we are done
what if 1+i divides a-bi though?
Thats where I'm stuck!