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Mgf Mathletics, NERDZ only! XD

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Puzzler	May 27 2007, 05:12 PM Post #1
Group: Članovi Joined: 2-July 06 Member No.: 74 Status: Van MGa Škola/Razred: MG/IIb (proud of it)	E ovako... Po cenu da zauvek budem obeležen kao najveći štreber na forumu, pokrećem ovu "igru" u nadi da će bar neko hteti da se igra. Ideja je sledeća: Učesnici redom postavljaju zadatke ISKLJUČIVO iz matematike, a onaj ko tačno reši, sledeći postavlja. Poll služi da, kao u igri "Pogodite igru" prikaže rezultate (čisto sumnjam da će biti više od 20 učesnika), i zamolio bih admine da je povremeno edituju . I još jedna stvar: Let's face it, nemojmo postavljati baš extra teške AKA takmičarske zadatke, ili one smarajuće iz knjiga, već nešto zaista interesantno, što zahteva razmišljanje, intelekt, i pre svega, talenat, a ne teoreme i that kind of crap. Now... Let the Games - BEGIN! Zadatak[1]: Ako je $2f(n)+{\frac {1}{2}}f({\frac {1}{n}})=n$ , odrediti $f(2)$ . --------------------

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pyost	May 31 2007, 04:55 PM Post #2
Deus Ex Makina Group: Administratori Joined: 25-January 06 From: Beograd Member No.: 2 Status: Bivši učenik MGa Škola/Razred: RAF	Evo ja cu da ti pojasnim $2f({1 \over 2})+{1 \over 2}f(2)={1 \over 2}$ $2f(2)+{1 \over 2}f({1 \over 2})=2 \quad /4$ $=>$ $2f({1 \over 2})+{1 \over 2}f(2)={1 \over 2}$ $8f(2)+2f({1 \over 2})=8$ Kada od druge jednacine oduzmemo prvu, dobijamo $7{1 \over 2}f(2)=7{1 \over 2}$ Odnosno $f(2)=1$ -------------------- Baby, it's a violent world. Registrovani korisnik Linuxa broj 460770 [Ubuntu 7.10]

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Puzzler Mgf Mathletics May 27 2007, 05:12 PM

^_NiN0_^ RE: Mgf Mathletics May 27 2007, 05:39 PM

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