Skip to main content
15-Moonstone
December 11, 2022
Solved

Van Roomen's problem

  • December 11, 2022
  • 2 replies
  • 3577 views

The development of a famous polynomial p(x) of degree 45 has already been discussed here. Now I searched further and found Vieta's approach to the ingenious determination of the zeros. His approach, identical to p(x), is p(x) = 2*sin(45*arcsin(x/2)). Mathcad 14 fully develops this. But I fail to get the usual polynomial structure to be able to compare it with the classical default. What am I doing wrong in attached file? Kind regards at Christmas time, Alfred Flasshaar

Best answer by LucMeekes

Maybe add a second ' erweitern, x'  to the symbolic....?

LucMeekes_0-1670770725535.png

 

Success!

Luc

2 replies

LucMeekes23-Emerald IVAnswer
23-Emerald IV
December 11, 2022

Maybe add a second ' erweitern, x'  to the symbolic....?

LucMeekes_0-1670770725535.png

 

Success!

Luc

15-Moonstone
December 11, 2022

Many thanks also to Werner. In the meantime I also had a small success according to the attachment.

Greetings, Alfred

25-Diamond I
December 11, 2022

You may use the symbolics "coeffs" to see the coefficients

Werner_E_1-1670771016088.png

 

Or you may use something like this to see the polynomial

Werner_E_2-1670771318033.png

 

For some days I experience severe problems when trying to embed pictures here in he forum via copy and paste, but you should see what I am talking about in the attached sheet anyway.

@Jaime_Lee  is it just me or is anything going on concerning the forum software?

25-Diamond I
December 11, 2022

You could also use the "series" command to get the desired result:

Werner_E_0-1670772499908.png