SOLUTION: compute all possible ordered pairs of positive integers (x,y)which satisfy xsquared- ysquared=45

Algebra ->  Test -> SOLUTION: compute all possible ordered pairs of positive integers (x,y)which satisfy xsquared- ysquared=45      Log On


   

Question 219181: compute all possible ordered pairs of positive integers (x,y)which satisfy xsquared- ysquared=45
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


If



Then



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