Math Is Fun Forum

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Equations

This one can be simplified further:

So the four roots of

are

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Maiya

Member

Registered: 2011-08-11

Posts: 124

Re: Equations

thank u and what is cardan's method for solving cubic equations

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Equations

HI Maiya;

A very long and tedious method. Algebraically it is a nightmare. I do not recommend it.

But I will go over it with you.

Take a look at this:

http://www.math.ucdavis.edu/~kkreith/tu … rdano.html

If you are still alive at the end of that you will have noticed that even that page will recommend a iterative method known to the Babylonians for solving the cubic. I would not use that either.

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In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.