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Diophantine Challenge
Problem
Given that x, y, and b are positive integers, prove that the Diophantine equation, x2 + (b
x)y = 
1 in x and y, has at least four solutions for all values of b.
Problem ID: 227 (04 Jun 2005) Difficulty: 4 Star
Given that x, y, and b are positive integers, prove that the Diophantine equation, x2 + (bx)y = 1 in x and y, has at least four solutions for all values of b.
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