#### Find all roots of a high-order equation

```The math behide this solution is quite simple:
if a polynomial equation f(x)=0 has roots, let's say x1,x2,��xn,then
f(x) can be converted to another format as
(x-x1)*(x-x2)*(x-x3)*�...*(x-xn) = 0
So what we do here is use goal-seek to find it's first root(x1)
then use f(x) / (x-x1) as a new equation, easy to say the new one is
(x-x2)*(x-x3)*�...*(x-xn) = 0
repeat the procedure above,we can get all the roots one by one.

+-------------------------------------------------------------------+
|Filename: Find all the roots of High-Order Polynomial Equation by Dragon.Pan.zip|
+-------------------------------------------------------------------+

--
Pan
------------------------------------------------------------------------
Pan's Profile: http://www.excelforum.com/member.php?action=getinfo&userid=28144

```
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10/28/2005 1:46:20 AM
excel.misc 78881 articles. 5 followers.

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```I know know if excel is the best way to go here....
There's a program called Maple that would be of use to you...
www.maplesoft.com

However, if there is an excel solution, I'm sure someone on here can figure
it out.

- Search

"Pan" wrote:

>
> The math behide this solution is quite simple:
> if a polynomial equation f(x)=0 has roots, let's say x1,x2,……xn,then
> f(x) can be converted to another format as
> (x-x1)*(x-x2)*(x-x3)*…...*(x-xn) = 0
> So what we do here is use goal-seek to find it's first root(x1)
> then use f(x) / (x-x1) as a new equation, easy to say the new one is
> (x-x2)*(x-x3)*…...*(x-xn) = 0
> repeat the procedure above,we can get all the roots one by one.
>
>
> +-------------------------------------------------------------------+
> |Filename: Find all the roots of High-Order Polynomial Equation by Dragon.Pan.zip|
> +-------------------------------------------------------------------+
>
> --
> Pan
> ------------------------------------------------------------------------
> Pan's Profile: http://www.excelforum.com/member.php?action=getinfo&userid=28144
>
>
```
 0
Search33 (27)
10/28/2005 1:03:01 PM

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