Not sure if this is the correct category, if its not sorry.

If you create a 3x3 grid of unique integers squared, each row, column and diagonal has to be equal to N.

What is one solution to this problem and what is a general solution to this problem?

n a ^{2}b ^{2}c ^{2}n d ^{2}e ^{2}f ^{2}n g ^{2}h ^{2}i ^{2}n n n n n

Using systems of equtions I was able to find that e^{2}= 1/3n.

a^{2 }+b^{2 }+c^{2 }=n

-(a^{2 }+e^{2 }+i^{2 }=n)

-(b^{2 }+e^{2 }+h^{2 }=n)

-(c^{2 }+e^{2 }+g^{2 }=n)

g^{2 }+h^{2 }+i^{2 }=n

=

-3e^{2 }=n

After this I have been able to write everything in terms of a, c and n but don't know where to go next.

n a ^{2}b ^{2}c ^{2}n d ^{2}^{1n/3}f ^{2}n g ^{2}h ^{2}i ^{2}n n n n n

Thanks for any help you can offer.

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