System of equations : x+y = a*b and x*y = a+b

 

Find solutions in integers of the system
 

x \; + \; y \; = \; a \, b

x \, y \; = \; a \; + \; b
 
 

Does the system have infinitely many solutions in integers?
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

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About benvitalis

math grad - Interest: Number theory
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