Question

Determinati valorile natulare ale lui x pentru care :
a) x+1 | x+6
b)x+2 | 2x+29
c)2x-1 | 4x+19
d)2x+1 | 7x+23
e)2x+d | 7x+29

Answer 1

$a) \left \{ {{x+1|x+6} \atop {x+1|x+1}} \right. \Rightarrow x+1|5 \Rightarrow x \in\{0,4\}$
$b) \left \{ {{x+2|2x+29} \atop {x+2|2(x+2)}} \right. \Rightarrow x+2|25 etc...$
$c) \left \{ {{2x-1|4x+19} \atop {2x-1|2(2x-1)}} \right \Rightarrow 2x-1|21...$