Mathematics

a cubic simplified

a cubic simplified

Postby scifo » Fri Mar 09, 2012 6:48 pm
Hello!

I would like to know if there is a formula resolving simplified, when a cubic equation is in the form

a * x^3 + b * x^2 + c * x + d = 0

with a = c and b = d ...

Help me, please!
scifo
 
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Re: a cubic simplified

Postby WolframAlphaMathHelp » Mon Mar 12, 2012 9:35 pm
scifo,

Try inputting your problem into W|A just the way you typed it above.
"a * x^3 + b * x^2 + c * x + d = 0 with a = c and b = d"

http://www.wolframalpha.com/input/?i=a+ ... nd+b+%3D+d

The result you get is a more simplified "(x^2+1) (c x+d) = 0" and you also get solutions for the variable x.

Hope that helps!
WolframAlphaMathHelp
 
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Re: a cubic simplified

Postby scifo » Tue Mar 13, 2012 9:13 am
I thank you very much for your informations, that I have been very useful ....

I wanted to know if with this use of WA i can see if any algebraic
equation is irreducble or not, without resorting to the infamous theory of elimination...

It is true?
Let me know, please!
scifo
 
Posts: 13
Joined: Wed Aug 25, 2010 2:25 pm

Re: a cubic simplified

Postby WolframAlphaMathHelp » Tue Mar 13, 2012 2:12 pm
scifo,

It is unclear to me exactly what you are looking for, but perhaps the cubic formula will satisfy your curiosity.

http://www.wolframalpha.com/input/?i=cubic+formula

You can use this to solve any cubic equation.

In general, if you input any equation into W|A it will tell you if there are any solutions and solve them if possible.
WolframAlphaMathHelp
 
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