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 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 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 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.