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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Thread 'Hypothesis testing: Defining H0, HA hypotheses so that ( H_A)_A' makes sense'

The standard _A " operator" maps a Null Hypothesis Ho into a decision set { Do not reject:=1 and reject :=0}. In this sense ( HA)_A , makes no sense. Since H0, HA aren't exhaustive, can we find an alternative operator, _A' , so that ( H_A)_A' makes sense? Isn't Pearson Neyman related to this? Hope I'm making sense. Edit: I was motivated by a superficial similarity of the idea with double transposition of matrices M, with ## (M^{T})^{T}=M##, and just wanted to see if it made sense to talk...
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