(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] Simple algebra problem (fields)

1. The problem statement, all variables and given/known data

Solve x²+x+41=0 in the fields Z_{43}and Z_{167}

2. The attempt at a solution

Well Z_{43}={0,1,...,42} so any y that is n=0 mod 43 works...

x²+x+41=0=43 -> x²+x=2 -> x=1

Is this how it's done or am I doing it incorrectly?

If the solution above is right, then what about the same equation in the field Z_{167}? I can't find any x that is in that field and solves the problem.

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# Homework Help: Simple algebra problem (fields)

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