若x, y∈z且3x+2y=xy,則(x, y)之整數解有幾組?

2015-12-28 2:48 am

回答 (1)

2015-12-28 3:40 am
✔ 最佳答案
若x,y∈z且3x+2y=xy,則(x,y)之整數解有幾組?
Sol
3x+2y=xy
3x-xy+2y=0
x(3-y)-2(-y)=0
x(3-y)-2(3-y)=-6
(x-2)(y-3)=6
6=(2^1)*(3^1)
有(1+1)*(1+1)=4個正因數
(x,y)之整數解有8組


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