Sorry, but your proof has multiple errors: - First you assume that x and y are integers. However nothing proves that this is the case. So there might be solutions with non integer x and y such that x+y=3 - Just because a and b are positive, that doesn't mean that x and y need to be positive as well - Second, at least by the definition I know, Z+ also contains the value 0. So you are omitting the trivial solutions 0,18 and 18,0 In a math Olympiad, you would not score well on this problem.
In mathematics, "Z+" represents the set of all positive integers, meaning the numbers 1, 2, 3, 4, and so on; essentially, the "Z" stands for the set of all integers, and the "+" indicates only positive integers are included. So, you're wrong in your assertion that 0 should be included in the list of possible values or solutions.
2, 8
Very nice! ❤
Sorry, but your proof has multiple errors:
- First you assume that x and y are integers. However nothing proves that this is the case. So there might be solutions with non integer x and y such that x+y=3
- Just because a and b are positive, that doesn't mean that x and y need to be positive as well
- Second, at least by the definition I know, Z+ also contains the value 0. So you are omitting the trivial solutions 0,18 and 18,0
In a math Olympiad, you would not score well on this problem.
Sorry for inconvenience! ❤
In mathematics, "Z+" represents the set of all positive integers, meaning the numbers 1, 2, 3, 4, and so on; essentially, the "Z" stands for the set of all integers, and the "+" indicates only positive integers are included. So, you're wrong in your assertion that 0 should be included in the list of possible values or solutions.