MHB Diophantine equation second grade

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The discussion focuses on finding the general solution to the Diophantine equation x(x-1)/(y(y-1)) = 1/2. Participants are asked for assistance in solving this equation, which involves integer solutions. The equation can be manipulated to explore relationships between x and y, leading to potential solutions. The thread emphasizes collaborative problem-solving in mathematics. Overall, the goal is to derive integer values for x and y that satisfy the given equation.
Lolyta
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Hello!
I am trying to find the general solution of this equation, could you help me?
\dfrac{x(x-1)}{{y(y-1)}} =1/2

Thank you so much!
 
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