湖南省盐务管理局:若自然数AB满足A+B=7AB都是整数的可能性为
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Let A, B be not 0.
Since 7A=1+A/B, B|A
Also we get A|B.
So A=B and 2A=7A^2
=> A=2/7
Let A, B be not 0.
Since 7A=1+A/B, B|A
Also we get A|B.
So A=B and 2A=7A^2
=> A=2/7