Question

B= ( x € Z* / x+4 supra x+1 € Z) ​

Answer 1

Răspuns:

×€2

SPER CA TE-AM AJUTAT!!!!!

Answer 2

Răspuns:

- 4; - 2; 2

Explicație pas cu pas:

$\frac{x + 4}{x + 1} = \frac{x + 1 + 3}{x + 1} = 1 + \frac{3}{x + 1} \in \mathbb{Z} \\ \implies \frac{3}{x + 1} \in \mathbb{Z}$

$(x + 1) \in \Big\{ - 3; - 1; 1; 3\Big\} \\ \implies x \in \Big\{ - 4; - 2; 0; 2\Big\}$

$x \in \mathbb{{Z}^{\ast}} \implies x \in \Big\{- 4; - 2; 2\Big\}$