HOW: set of 3 equations using Chinese theorem

  • Thread starter Thread starter £ukasz Zygmañski
  • Start date Start date
£

£ukasz Zygmañski

Hi,

would anyone know how to implement and solve set of any 3 equations using
Chinese theorem (using Excel)? For example, how to solve this:

{ x = 3 (mod 4)
{ x = 2 (mod 7)
{ x = 1 (mod 9)

PS There should be a symbol using three minuses instead of "=" of course,
but I don't know wheter it is possible to put in into my Outlook.
 
Hi!

Nice one Dana! As neat a formula as one could wish for. (I won't say how I
got there...)

Yes, you've found the first of an infinite number of solutions which repeat
at intervals of 252 ( 4*7*9).

Alf

| If I understand the question, is it 163?
|
| =MOD(163,{4,7,9})
| {3, 2, 1}
|
| HTH. :>)
|
| --
| Dana DeLouis
| Using Windows XP & Office XP
| = = = = = = = = = = = = = = = = =
|
|
| | > Hi,
| >
| > would anyone know how to implement and solve set of any 3 equations
using
| > Chinese theorem (using Excel)? For example, how to solve this:
| >
| > { x = 3 (mod 4)
| > { x = 2 (mod 7)
| > { x = 1 (mod 9)
| >
| > PS There should be a symbol using three minuses instead of "=" of
course,
| > but I don't know wheter it is possible to put in into my Outlook.
|
|
|
 
Back
Top