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15-Moonstone
Dec 11, 2022 10:59 AM UTC
Solved

Van Roomen's problem

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

LucMeekesAnswer
23-Emerald V
Dec 11, 2022 2:58 PM UTC

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

LucMeekes_0-1670770725535.png

 

Success!

Luc

13 replies

LucMeekes23-Emerald VAnswer
23-Emerald V
Dec 11, 2022 2:58 PM UTC

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

LucMeekes_0-1670770725535.png

 

Success!

Luc

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15-Moonstone
Dec 11, 2022 3:31 PM UTC

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

Greetings, Alfred

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Werner_E
25-Diamond I
Dec 11, 2022 3:03 PM UTC

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?

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Werner_E
25-Diamond I
Dec 11, 2022 3:28 PM UTC

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

Werner_E_0-1670772499908.png

 

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