Cubic and Quartic Formulae

[LCieParagon]

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.

[Simone Cerica]

There was a discussion a while ago...

The solution to the quartic equation on the HP50g (long)
http://www.hpmuseum.org/cgi-sys/cgiwrap/...ead=158163

[LCieParagon]

I mean the solutions are right here:

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

https://31.media.tumblr.com/tumblr_mcmir...rvnfhg.png

[Dieter]

(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

[LCieParagon]

(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.

[Ángel Martin]

(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.