Re : cubic equation - is it really solvable?




Le 17/06/2005 22:10, dans d8vapi$87i$1@xxxxxxxxxxxxxxxxxxxx, « Dylan Sung »
<dylanwhs.tsktsktsk@xxxxxxxxxxxxxx> a écrit :

>
> "Jean-Claude Arbaut" <jean-claude.arbaut@xxxxxxxxxxx> wrote in message
> news:BED8DD51.52CD%jean-claude.arbaut@xxxxxxxxxxxxxx
>>
>>
>>
>> Le 17/06/2005 20:00, dans
>> 1119031230.532347.201050@xxxxxxxxxxxxxxxxxxxxxxxxxxxx, « double d »
>> <markdemers15@xxxxxxxxxxx> a écrit :
>>
>>> my excel program solves all cubics and plots the curves without any
>>> problem.
>>> MD
>>>
>>
>> That was of great help. Thank you.
>>
>> No, I was just kidding :-)
>>
>
> Hows about using sum and products of roots
>
> (x + alpha)(x + beta)(x + gamma)
>
They are polynomial coefficients, an information
we already have. Be maybe one can devise a
new method of resolution from that.

There's also ((x-a)/(x-b))^3=c, yet another
method. These amounts to 4 or 5 methods, so far.
I wonder if there are still other methods.
Mathematicians found the first solution around
1500, but there are indeed many ways to solve
the problem.




> http://www.mth.kcl.ac.uk/events/summer_schools/summer_school2001/Alg013.html


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