chris84567
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- Joined
- Jan 23, 2018
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- 12
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?
Using systems of equtions I was able to find that e2= 1/3n.
a2 +b2 +c2 =n
-(a2 +e2 +i2 =n)
-(b2 +e2 +h2 =n)
-(c2 +e2 +g2 =n)
g2 +h2 +i2 =n
=
-3e2 =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.
Thanks for any help you can offer.
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 | |||
a2 | b2 | c2 | n |
d2 | e2 | f2 | n |
g2 | h2 | i2 | n |
n | n | n | n |
Using systems of equtions I was able to find that e2= 1/3n.
a2 +b2 +c2 =n
-(a2 +e2 +i2 =n)
-(b2 +e2 +h2 =n)
-(c2 +e2 +g2 =n)
g2 +h2 +i2 =n
=
-3e2 =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 | |||
a2 | b2 | c2 | n |
d2 | 1n/3 | f2 | n |
g2 | h2 | i2 | n |
n | n | n | n |
Thanks for any help you can offer.
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