Tìm số các cặp số nguyên (x,y) thỏa mãn : 2017xy=x+y
2017xy=x+y
#1
Posted 24-11-2017 - 20:10
#2
Posted 24-11-2017 - 22:14
Ta có: $x+y=2017xy\Rightarrow x=\frac{y}{2017y-1}$
Mà: x nguyên => y chia hết cho 2017y-1
=>2017y chia hết cho 2017y-1
=> 1 chia hết cho 2017y-1
=> $2017y-1\in$Ư(1)={-1;1};
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