Explicație pas cu pas:
a)
[tex]x = \frac{3}{k} + \frac{2}{k - 1}[/tex]
k = 3
[tex]x = \frac{3}{3} + \frac{2}{3 - 1} = 1 + \frac{2}{2} = 1 + 1 = 2 \in \mathbb{Z}\\ [/tex]
k = -1
[tex]x = \frac{3}{ - 1} + \frac{2}{ - 1 - 1} = - 3 + \frac{2}{ - 2} = - 3 - 1 = - 4 \in \mathbb{Z}\\[/tex]
b)
[tex]y = \frac{3}{k - 2} + \frac{5}{k + 2} \\ [/tex]
k = 3
[tex]y = \frac{3}{3 - 2} + \frac{5}{3 + 2} = \frac{3}{1} + \frac{5}{5} = 3 + 1 = 4 \in \mathbb{Z} \\ [/tex]
k = -1
[tex]y = \frac{3}{ - 1 - 2} + \frac{5}{ - 1 + 2} = \frac{3}{ - 3} + \frac{5}{1} = - 1 + 5 = - 1 + 5 = 4\in \mathbb{Z} \\ [/tex]
