Question

Aflaţi numerele naturale x şi y care verifică egalitatea ( x+2)/2 - 3/(y+1) = 5​

Answer 1

Explicație pas cu pas:

$\dfrac{x + 2}{2} - \dfrac{3}{y + 1} = 5$

$\dfrac{x + 2}{2} - 5 = \dfrac{3}{y + 1}$

$\dfrac{x - 8}{2} = \dfrac{3}{y + 1}$

$(x - 8)(y + 1) = 6$

$x - 8 = 1 \implies x = 9 \\ y + 1 = 6 \implies y = 5$

$x - 8 = 2 \implies x = 10 \\ y + 1 = 3 \implies y = 2$

$x - 8 = 3 \implies x = 11 \\ y + 1 = 2 \implies y = 1$

$x - 8 = 6 \implies x = 14 \\ y + 1 = 1 \implies y = 0$

numerele sunt:

(x;y) ∈ {(9;5); (10;2); (11;1); (14;0)}