Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.



Solving binary quadratic forms
Posted:
Nov 23, 2002 8:49 PM


Does anyone know how to solve (1) quickly
(1) (ax^2 + by^2)(cx^2 + dy^2) = e^2
a,b,c,d,e,x,y are in Z, and gcd(a,b)=1 gcd(c,d)=1
We are given a,b,c & d, and need to find x,y.
Example:
(2) (x^2 + 4248723689280y^2)(5x^2 + 24332920331281y^2) = s^2
We ignore the trivial solution x,y = (0,0)
Randall



