Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Pell type equations
Replies: 29   Last Post: Apr 29, 2012 5:37 PM

 Messages: [ Previous | Next ]
 Terry M Posts: 15 Registered: 4/26/12
Re: Pell type equations
Posted: Apr 29, 2012 10:48 AM

My deductions so far...

of a², b², c² and d²

no solutions if exactly three of these = 1 mod 8

if exactly one of a² and b² = 1 mod 8 and exactly one of c² and d² = 1 mod
8, then the two remaining must be equal mod 8

e.g if a² = 1 mod 8 and c²=1 mod 8 then if b² <> d² mod 8 there are no
solutions.

Date Subject Author
4/26/12 Terry M
4/26/12 Dan Cass
4/26/12 Dan Cass
4/26/12 bert
4/26/12 Terry M
4/26/12 amzoti
4/26/12 Timothy Murphy
4/27/12 Terry M
4/27/12 Helmut Richter
4/27/12 Terry M
4/28/12 Helmut Richter
4/28/12 Terry M
4/28/12 Helmut Richter
4/28/12 Terry M
4/28/12 Terry M
4/28/12 Helmut Richter
4/28/12 Terry M
4/29/12 Terry M
4/29/12 Terry M
4/29/12 Helmut Richter
4/29/12 Terry M
4/29/12 Terry M
4/29/12 Terry M
4/28/12 Timothy Murphy
4/28/12 Terry M
4/28/12 Helmut Richter
4/28/12 Terry M
4/29/12 Timothy Murphy
4/29/12 Helmut Richter
4/29/12 Timothy Murphy