Solving a cubic equation using trigonometry, but with a2 term? - Printable Version +- HP Forums (https://archived.hpcalc.org/museumforum) +-- Forum: HP Museum Forums (https://archived.hpcalc.org/museumforum/forum-1.html) +--- Forum: Old HP Forum Archives (https://archived.hpcalc.org/museumforum/forum-2.html) +--- Thread: Solving a cubic equation using trigonometry, but with a2 term? (/thread-198450.html) |
Solving a cubic equation using trigonometry, but with a2 term? - snaggs - 09-29-2011 Hi, 00 { 31-Byte Prgm } 00 { 34-Byte Prgm } However, it doesn't work if you have an a2 term, unless I've made a typo. Having to do substitution before using the program seems to defeat the purpose. Daniel. Re: Solving a cubic equation using trigonometry, but with a2 term? - Dieter - 09-29-2011 Sure there is no a2 term: That's why it says "A general cubic equation can be transformed to the following form using a substitution". ;-) For more details see below.
There are well-known standard methods for solving cubic equations. Just take a look at de.wikipedia.org - as well as the last link ("Leitfaden") on that page for a step-by-step solution. The entry on Having read all this you may finally proceed to the actual algorithm. ;-) For instance by using Cardano's method as described on de.wikipedia.org. This is the method you will probably use.
Edit 1:
Edit 2:
Dieter Edited: 29 Sept 2011, 8:49 a.m.
|