How Many Integer Solutions Does the Diophantine Equation Have? | Math Olympiad

Given the indefinite equation c^2+4a^2b^2=65, how many different sums of these three positive integers a, b and c are there? This mathematical Olympiad tutorial video shows you how to solve the Diophantine equation by means of prime factorization and properties of integers.

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[keenan-]

Thanks for the videos! They're really helpful, since I find Diophantine equations a bit tricky.

[Pratyaksh]

I can understand and do the solutions but don't know what a diophantine equation is can you tell pls??