Răspuns:
x ∈ {-2; 0; 1; 3}
Explicație pas cu pas:
[tex] \frac{5}{2x - 1}\in \mathbb{Z} \iff (2x - 1)\in\{-5; -1; 1; 5\} \\[/tex]
[tex]2x - 1 = - 5 \iff 2x = - 4 \implies x = - 2 \\ [/tex]
[tex]2x - 1 = - 1 \iff 2x = 0 \implies x = 0 \\ [/tex]
[tex]2x - 1 = 1 \iff 2x = 2 \implies x = 1 \\ [/tex]
[tex]2x - 1 = 5 \iff 2x = 6 \implies x = 3 \\ [/tex]
[tex]\implies \bf x \in\{-2; 0; 1; 3\}[/tex]
