Cubic and Quartic Formulae
02-21-2015, 04:18 AM
Post: #1
 LCieParagon Junior Member Posts: 31 Joined: Jan 2015
Cubic and Quartic Formulae
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.
02-21-2015, 01:36 PM
Post: #2
 Simone Cerica Member Posts: 60 Joined: Mar 2014
RE: Cubic and Quartic Formulae
There was a discussion a while ago...

The solution to the quartic equation on the HP50g (long)
02-21-2015, 02:24 PM
Post: #3
 LCieParagon Junior Member Posts: 31 Joined: Jan 2015
RE: Cubic and Quartic Formulae
I mean the solutions are right here:

https://suhaimiramly.files.wordpress.com...uartic.jpg

https://31.media.tumblr.com/tumblr_mcmir...rvnfhg.png
02-21-2015, 04:57 PM
Post: #4
 Dieter Senior Member Posts: 2,397 Joined: Dec 2013
RE: Cubic and Quartic Formulae
(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
02-21-2015, 05:58 PM
Post: #5
 LCieParagon Junior Member Posts: 31 Joined: Jan 2015
RE: Cubic and Quartic Formulae
(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.
02-21-2015, 09:24 PM
Post: #6
 Ángel Martin Senior Member Posts: 1,239 Joined: Dec 2013
RE: Cubic and Quartic Formulae
(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.
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