The values of m, n, for which the system of equations 

x + y + z = 4,

2x + 5y + 5z = 17,

x + 2y + mz = n

has infinitely many solutions, satisfy the equation : 

1
m2 + n2 – m – n = 46 
2
m2 + n2 + m + n = 64 
3
m2 + n2 + mn = 68 
4
m2 + n2 – mn = 39 

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