Mathematics Homework Solutions
Problem
#26408

A proof and a solution involving a Diophantine equation

Show that the Diophantine equation x^2-y^2=n is solvable in integers if and only if n is odd or n is divisible by 4.  When this equation is solvable, find all integer solutions.


Solution Summary

This show show to prove that a Diophantine equation is solvable in integers if and only if certain circumstances are met.

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