Suppose that a and b belong to a field of order 8 and that
Chapter 13, Problem 64E(choose chapter or problem)
Suppose that a and b belong to a field of order 8 and that \(a^2 + ab + b^2 = 0\). Prove that a = 0 and b = 0. Do the same when the field has order \(2^n\) with n odd.
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