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Suppose (a, b) is an ordered pair of integers such that the three numbers a, b, and ab form an arithmetic progression, in that order. Find the sum of all possible values of a, 

 

If positive real numbers x,y,z satisfy the following system of equations, compute x+y+z.

xy + yz = 30,

yz + zx = 36,zx + xy = 42.

 
 Oct 16, 2021

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