Question

DAU COROANA!! Determinati nr nat x si y astfel incat (x+3) • (y-2) = 18

Answer 1

Răspuns:

(0,8);(3,5);(6,4);(15,3)

Explicație pas cu pas:

$(x + 3)(y - 2) = 18$

$x \geqslant 0 \implies x + 3 \geqslant 3 \\ y \geqslant 0 \implies y - 2 \geqslant - 2$

18 = 3×6 = 6×3 = 9×2 = 18×1

$x + 3 = 3 \implies x = 0 \\ y - 2 = 6 \implies y = 8$

$x + 3 = 6 \implies x = 3 \\ y - 2 = 3 \implies y = 5$

$x + 3 = 9 \implies x = 6 \\ y - 2 = 2 \implies y = 4$

$x + 3 = 18 \implies x = 15 \\ y - 2 = 1 \implies y = 3$

$\implies \bf (x,y) \in \{(0,8);(3,5);(6,4);(15,3)\}$

Answer 2

Răspuns:

Explicație pas cu pas: