# Math Help - Mod 5

1. ## Mod 5

How do I show that this (see below) has no solutions?

$2+b^3\equiv b \ (\text{mod} \ 5)$

2. ## Re: Mod 5

Originally Posted by dwsmith
How do I show that this (see below) has no solutions?

$2+b^3\equiv b \ (\text{mod} \ 5)$
Just use every possiblity. b=0,1,2,3,4 and show none of them make the equation true!

3. ## Re: Mod 5

Originally Posted by TheEmptySet
Just use every possiblity. b=0,1,2,3,4 and show none of them make the equation true!
I was hoping for a clearing way.