SOLUTION: compute all possible ordered pairs of positive integers (x,y)which satisfy xsquared- ysquared=45
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Question 219181: compute all possible ordered pairs of positive integers (x,y)which satisfy xsquared- ysquared=45
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If
Then
(x - y) = 45)
and therefore
If both 
and 
are integers, then 
must be a positive integer and 
must be an integer in general. But in order for to be a positive integer in the above equation, must be a positive integer as well.
So, the possibilities are:
But since both and are positive integers, must be greater than , so we can eliminate the last three relationships in the above list.
So:
John
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