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List of triplets (
Posted on 20161021
)
Determine all possible triplets
(x, y,n)
of positive integers,
fulfilling the equation:
(x+y)*(x−y)^ n = x*y
No Solution Yet
Submitted by
Ady TZIDON
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re(3): solution
Comment 4 of 4 
(In reply to
re(2): solution
by Daniel)
if n is even then
(xy)^n=(yx)^n and thus my original solution still holds
if n is odd then
(xy)^n=(yx)^n
if y>x then yx>0 and (yx)^n<0
thus (x+y)(xy)^n<0
but xy>0
thus there is still no solution
Posted by
Daniel
on 20161021 10:10:05
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