SOLUTION: Find the value m and n if {{{m+np^2=5m-np^2=12}}} where m,n, and p are whole numbers

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Question 1018497: Find the value m and n if m%2Bnp%5E2=5m-np%5E2=12
where m,n, and p are whole numbers
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

m%2Bnp%5E2=5m-np%5E2=12
system%28m%2Bnp%5E2=12%2C5m-np%5E2=12%29
let x=np%5E2
system%28m%2Bx=12%2C5m-x=12%29
Solve that and get
m+=+4
x+=+8
np%5E2=8
The only whole number solution is when p=n=2
So m=4, n=2, p=2 are the only whole number solutions.
Edwin