Counting Pairs on a Quadric

★ 6/10Diophantine Equations number theory Modular Arithmetic Completing the Square

Problem

How many pairs of integers $(m, n)$ satisfy

m^2 - 11mn - 8n^2 = 88?

Answer

Solution

Difficulty	6/10
Topics	Diophantine Equations, number theory, Modular Arithmetic, Completing the Square

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