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How many pairs of positive integers (x,y) satisfy x^2-y^2=51+xy?

 Jun 14, 2022
 #1
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Hello, 

 

x2y2=51+xy

 

x2y2xy=51

 

x2yxy251=0

 

Solve with the quadratic formula:

 

x1,2=(y)±(y)241(y251)21

 

x1,2=(y)±5y2+20421.

 

I think you got y...

 

Let me know if you need help becoz this might get very messy.Good luck

 Jun 14, 2022
 #2
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This answer is not helpful

Guest Jun 14, 2022
 #3
avatar+580 
+1

How was it not helpful, what else do you need? laugh

Vinculum  Jun 14, 2022

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