### Finding the solution classes (primitive and imprimitive) of the diophantine equation ax^{2}+bxy+cy^{2}=n, where b^{2}-4ac > 0 and is not a perfect square, n non-zero, gcd(a,b,c)=1

(See paper.)
The standard method is due to Gauss (See G.B. Mathews *Number Theory*, page 97 or L.E. Dickson, Introduction to the theory of numbers, pages 74-75.)

*Last modified 16th March 2015*

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