Question

determinati valorile intregi ale lui x pentru care -5 supra 2x-1 este numar intreg

Answer 1

[tex] \frac{-5}{2x-1} \in \  Z=\ \textgreater \ -5\vdots(2x-1)=\ \textgreater \ (2x-1)\in D_{-5}=\{-5,5,-1,1\}=\ \textgreater \ \\ 2x-1=-5=\ \textgreater \ 2x=-5+1=\ \textgreater \ 2x=-4=\ \textgreater \ x=-2\\ 2x-1=5=\ \textgreater \ 2x=5+1=\ \textgreater \ 2x=6=\ \textgreater \ x=3\\ 2x-1=-1=\ \textgreater \ 2x=-1+1=\ \textgreater \ 2x=0=\ \textgreater \ x=0\\ 2x-1=1=\ \textgreater \ 2x=1+1=\ \textgreater \ 2x=2=\ \textgreater \ x=1\\ x\in\{-2,0,1,3\} [/tex]