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+--- Thread: Cubic and Quartic Formulae (/thread-3154.html)
Cubic and Quartic Formulae - LCieParagon - 02-21-2015 04:18 AM
Hello everyone.
I was just curious if an App exists to find exact values for a cubic and quartic polynomial rather than decimal approximations. I know Maple can provide exact answers, but I've yet to see a calculator do this.
Thanks.
RE: Cubic and Quartic Formulae - Simone Cerica - 02-21-2015 01:36 PM
There was a discussion a while ago...
The solution to the quartic equation on the HP50g (long)
http://www.hpmuseum.org/cgi-sys/cgiwrap/hpmuseum/archv019.cgi?read=158163
RE: Cubic and Quartic Formulae - LCieParagon - 02-21-2015 02:24 PM
I mean the solutions are right here:
https://suhaimiramly.files.wordpress.com/2010/04/quartic.jpg
https://31.media.tumblr.com/tumblr_mcmirdHLhE1rvnfhg.png
RE: Cubic and Quartic Formulae - Dieter - 02-21-2015 04:57 PM
(02-21-2015 04:18 AM)LCieParagon Wrote: I was just curious if an App exists to find exact values for a cubic and quartic polynomial rather than decimal approximations. I know Maple can provide exact answers, but I've yet to see a calculator do this.
?!? – cubic functions are solved by calculators at least since the 67/97 era of the Seventies. Including real as well as complex solutions. There are several ways to solve such equations, the formulas are well know for centuries. Please take a look at Wikipedia on roots of cubic functions.
OK – solving quartic functions is a different story. ;-)
Dieter
RE: Cubic and Quartic Formulae - LCieParagon - 02-21-2015 05:58 PM
(02-21-2015 04:57 PM)Dieter Wrote:(02-21-2015 04:18 AM)LCieParagon Wrote: I was just curious if an App exists to find exact values for a cubic and quartic polynomial rather than decimal approximations. I know Maple can provide exact answers, but I've yet to see a calculator do this.
?!? – cubic functions are solved by calculators at least since the 67/97 era of the Seventies. Including real as well as complex solutions. There are several ways to solve such equations, the formulas are well know for centuries. Please take a look at Wikipedia on roots of cubic functions.
OK – solving quartic functions is a different story. ;-)
Dieter
The calculator only provides numerical approximations and not exact answers. I would like a calculator to provide an exact solution. I can calculate it myself using the formulae.
RE: Cubic and Quartic Formulae - Ángel Martin - 02-21-2015 09:24 PM
(02-21-2015 04:57 PM)Dieter Wrote: /wiki/Quartic_function#Solving_a_quartic_equation]solving quartic functions[/url] is a different story. ;-)
Dieter
Actually not that different either - see JM Baillard's program at"
http://hp41programs.yolasite.com/polynomials.php
also available in the SandMatrix Module.