Răspuns:
(0,8);(3,5);(6,4);(15,3)
Explicație pas cu pas:
[tex](x + 3)(y - 2) = 18[/tex]
[tex]x \geqslant 0 \implies x + 3 \geqslant 3 \\ y \geqslant 0 \implies y - 2 \geqslant - 2[/tex]
18 = 3×6 = 6×3 = 9×2 = 18×1
[tex]x + 3 = 3 \implies x = 0 \\ y - 2 = 6 \implies y = 8[/tex]
[tex]x + 3 = 6 \implies x = 3 \\ y - 2 = 3 \implies y = 5[/tex]
[tex]x + 3 = 9 \implies x = 6 \\ y - 2 = 2 \implies y = 4[/tex]
[tex]x + 3 = 18 \implies x = 15 \\ y - 2 = 1 \implies y = 3[/tex]
[tex]\implies \bf (x,y) \in \{(0,8);(3,5);(6,4);(15,3)\} \\ [/tex]
