Question

Aflati numerele naturale n pentru care 2n+1 divide 5n+19

Answer 1

2n+1/5n+19    /*2
2n+1/2n+1      /*5

2n+1/10n+38
2n+1/10n+5 (-)
2n+1/38-5
2n+1/33

2n+1=1
2n=1-1
2n=0
n=0

2n+1=33
2n=33-1
2n=32
n=32:2
n=16

n∈{0,16}