Concursul "Nicolae Paun", 2008, problema 3

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Claudiu Mindrila
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Concursul "Nicolae Paun", 2008, problema 3

Post by Claudiu Mindrila »

Sa se arate ca ecuatia \( a^2+b^2-8c=6 \) nu are solutii in multimea numerelor intregi.
elev, clasa a X-a, C. N. "C-tin Carabella", Targoviste
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Marius Mainea
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Post by Marius Mainea »

Se foloseste faptul ca \( a^2\equiv 0 , 1 , 4 (mod8) \)
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