Ecuatie

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Marius Mainea
Gauss
Posts: 1077
Joined: Mon May 26, 2008 2:12 pm
Location: Gaesti (Dambovita)

Ecuatie

Post by Marius Mainea »

Rezolvati in \( \mathbb{R} \) ecuatia : \( xy=(x-1)(y-1)(x-2)(y-2) \)
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alex2008
Leibniz
Posts: 464
Joined: Sun Oct 19, 2008 3:23 pm
Location: Tulcea

Post by alex2008 »

Se rescrie:

\( [xy-2(x+y)+2](xy-x-y+2)=0 \)

si rezolvand ecuatiile \( xy-2(x+y)+2=0 \) si \( xy-x-y+2=0 \) se obtin solutiile \( (x,y)\in \{(0,1);(1,0);(0,2);(2,0);(3,4);(4,3)\} \).
. A snake that slithers on the ground can only dream of flying through the air.
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