Le_Forgeron wrote:

> Solving Third & Fourth degres polynomials is known since a long time (I
> have a book with that which was printed in the 60')

I'll bet to hell nobody actually *uses* the formulas above though. (!)

> Now, the sad thing is it soon stop working for fifth and higher.

I thought it only stops working in terms of "elementary" functions? As 
in, there are more specialised functions you can use to go a little bit 
higher still.

Also, I thought it was a case of being impossible to write a single 
closed-form formula for the solution to an arbitrary high-order 
polynomial. Like, if the polynomial has a special form, it might still 
be solvable (possibly easily).

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