Question

Determinati numerele intregi x,stiind ca 11 supra 2x-1 este numar intreg.

Answer 1

$\frac{11}{2x-1}$ , 2x-1∈{1,11,-1,-11}:
1)2x-1=1
2x=2
x=1
2)2x-1=11
2x=12
x=6
3)2x-1=-1
2x=0
x=0
4)2x-1=-11
2x=-10
x=-5
R/S: x∈{1,6,0,-5}