Ecuatie
Posted: Tue Jan 19, 2010 9:09 pm
Rezolvati in \( \mathbb{R} \) ecuatia : \( xy=(x-1)(y-1)(x-2)(y-2) \)
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 \( (x,y)\in \{(0,1);(1,0);(0,2);(2,0);(3,4);(4,3)\} \).