Path: utzoo!utgpu!news-server.csri.toronto.edu!cs.utexas.edu!usc!zaphod.mps.ohio-state.edu!unix.cis.pitt.edu!dsinc!netnews.upenn.edu!sequoia!hoford From: hoford@sequoia.circ.upenn.edu (John Hoford) Newsgroups: comp.sys.handhelds Subject: Re: Finding roots of Tertiary and above equations? Message-ID: <40762@netnews.upenn.edu> Date: 9 Apr 91 14:25:19 GMT References: <40686@netnews.upenn.edu> <40731@netnews.upenn.edu> <21917@shlump.nac.dec.com> Sender: news@netnews.upenn.edu Organization: Cardiothoracic Imaging Research Center Lines: 26 Nntp-Posting-Host: sequoia.circ.upenn.edu In article <21917@shlump.nac.dec.com> edp@jareth.enet.dec.com (Eric Postpischil (Always mount a scratch monkey.)) writes: >I'm not quite sure what you are asking. However, my statement did not >mean to exclude square roots. I a not quite sure ether. > For example, sqrt(2) is considered an > exact algebraic solution to x^2=2. But what is sqrt(2)? The only way I know it is as the solution to x^2=2. I gusss what I am asking is, what does it meen to say something has an algebraic soloution and is ther any thing realy special about 5'th and above degree polynomials. if i defined a function f(k,a0,a1,...an) which gave me the k'th soloution to a polynomials of order n whose terms were a0..an and defined it as part of my "algebra" then any polynomial would have an "algebraic" soloution. What makes the functions sqrt() and "x^(1/y)" ok to use? Is this just convention? John Hoford