Problem 2. The numbers $d$ and $e$ are the roots of the quadratic trinomial $a x^{2}+b x+c$. Could it be that $a, b, c, d, e$ are consecutive integers in some order?
Solution. Answer: Yes.

This could have happened, for example, for the quadratic polynomial $2 x^{2}-2$ and its roots 1 and -1. The numbers $-2,-1,0,1,2$ are indeed consecutive integers.

## Criteria

The one most suitable criterion is used:

7 6. Any example satisfying the condition of the problem is given.