Question

determinati n=N astfel incat numarul rational 34/4n+1 sa fie natural

Answer 1

34/4n+1∈N⇒4n+1∈D34
D34∈{1,2,17,34)

1. 4n+1=1
    4n=1-1
    4n=0
    n=0

2.  4n+1=17
     4n=17-1
     4n=16
     n=16:4
     n=4

Answer 2

[tex]4n+1|D_{34} =1,2,17,34 \\ 4n+1=1=\ \textgreater \ 4n=0=\ \textgreater \ n=0 \\ 4n+1=2=\ \textgreater \ 4n=1=\ \textgreater \ n= \frac{1}{4} \neq N \\ 4n+1=17=\ \textgreater \ 4n=16=\ \textgreater \ n=4 \\ 4n+1=34=\ \textgreater \ 4n=33=\ \textgreater \ n= \frac{33}{4} \neq N \\ =\ \textgreater \ n=0,4 \\ BlackBook[/tex]