How Did Viete Solve Roomen's Problem in 1595?

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Discussion Overview

The discussion centers around the historical problem posed by Adriaan van Roomen in 1593, which involves finding the roots of a complex polynomial equation. Participants are exploring how François Viète solved this problem in 1595, with a focus on historical context and mathematical methods.

Discussion Character

  • Historical
  • Exploratory

Main Points Raised

  • One participant outlines the polynomial equation posed by Roomen, indicating its complexity and the challenge it presents.
  • Another participant shares a link to a historical overview of Viète, suggesting it may provide insights into his methods.
  • A third participant provides an alternative link, implying it may contain better resources or explanations regarding Viète's solution.
  • A fourth participant shares yet another link, emphasizing that it includes mathematical explanations, while apologizing for the multiple links shared throughout the discussion.

Areas of Agreement / Disagreement

The discussion does not present a consensus on how Viète solved the problem, as participants are still searching for and sharing resources rather than arriving at a unified understanding.

Contextual Notes

Participants have not yet discussed specific mathematical techniques or theories used by Viète, and the links provided may contain varying levels of detail and relevance to the problem.

Who May Find This Useful

Readers interested in the history of mathematics, particularly in the works of François Viète and the challenges posed by early mathematicians, may find this discussion relevant.

Ethereal
In 1593, Adriaan van Roomen posed the following problem to "all the mathematicians of the known world": Find the roots of:

x^45 - 45x^43 + 945x^41 - 12300x^39 + 111150x^37 - 740459x^35 + 3764565x^33 - 14945040x^31 + 469557800x^29 - 117679100x^27 + 236030652x^25 - 378658800x^23 + 483841800x^21 - 488484125x^19 + 384942375x^17 - 232676280x^15 + 105306075x^13 - 34512074x^11 + 7811375x^9 - 1138500x^7 + 95634x^5 - 3795x^3 +45x = C

where C is a constant.

Viete solved this in 1595. How was this done?
 
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Better Link
http://francois-viete.wikiverse.org/
 
Last edited by a moderator:
Best link
explanation with mathmatics

http://pup.princeton.edu/books/maor/sidebar_d.pdf

sorry about having so many links
but i posted them as I found them
 
Last edited by a moderator:

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