Ecuatie cu doua solutii

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Claudiu Mindrila
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Ecuatie cu doua solutii

Post by Claudiu Mindrila »

Sa se demonstreze ca ecuatia \( x^{2}+y^{2}+z^{2}+t^{2}=2^{2004} \) unde \( 0\le x\le y\le z\le t \), are exact doua solutii in multimea numerelor intregi.

Mihai Baluna, ONM 2004
elev, clasa a X-a, C. N. "C-tin Carabella", Targoviste
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Marius Mainea
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Joined: Mon May 26, 2008 2:12 pm
Location: Gaesti (Dambovita)

Post by Marius Mainea »

Indicatie:

Daca unul dintre numere ar fi impar atunci ar da restul 1 la impartirea cu 8.
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