Hello,

What's so special about this polynomial ? :

,

The discriminant is

One can see that the discriminant is independent from m !

The solutions are :

and

Hey, what else ??

Let's see :

!!!

So is always a root of this quadratic polynomial, whatever m is (Tongueout)

This, however, can be explained : , so -1 is a root.

Isn't it nice ? (Surprised)