Răspuns :
N= multimea numerelor naturale
18 : 2x+1 = nr. natural
x e{0,1,4,}
18 : 1 = 18
18 : 3 = 6
18 : 9 = 2.
18 : 2x+1 = nr. natural
x e{0,1,4,}
18 : 1 = 18
18 : 3 = 6
18 : 9 = 2.
(2x+1)|18 => 2x+1 ∈ {1;2;9;18}
18/(2x+1) ∈N
x∈N
1)2x+1=1 <=> 2x=0 =>x=0
2)2x+1=2 <=> 2x= 1 => x= 1/2 ∉N
3)2x+1= 9 <=> 2x=8 =>x=4
4)2x+1=18 <=> 2x= 17 => x=17/2 ∉N
x∈{0,4}
18/(2x+1) ∈N
x∈N
1)2x+1=1 <=> 2x=0 =>x=0
2)2x+1=2 <=> 2x= 1 => x= 1/2 ∉N
3)2x+1= 9 <=> 2x=8 =>x=4
4)2x+1=18 <=> 2x= 17 => x=17/2 ∉N
x∈{0,4}