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Ecuatie cu numere naturale

 
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salazar
Thales


Joined: 06 Apr 2009
Posts: 100
Location: Alba Iulia

PostPosted: Thu Jun 25, 2009 10:48 am    Post subject: Ecuatie cu numere naturale Reply with quote

Rezolvati in multimea nr. naturale ecuatia:
4m^2+4n=n^2+4m+11.

G.M 3/2009
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Mateescu Constantin
Newton


Joined: 21 Apr 2009
Posts: 398
Location: Londra/Pitesti

PostPosted: Thu Jun 25, 2009 10:55 am    Post subject: Reply with quote

Ecuatia se scrie:
4m^2-4m+1=n^2-4n+4+8
\Longleftrightarrow (2m-1)^2=(n-2)^2+8
\Longleftrightarrow (2m-1+n-2)(2m-1-n+2)=8

De aici e simplu.
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