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2008 JBMO Shortlist
1
x(x - y) = 8y - 7 in NxN
x(x - y) = 8y - 7 in NxN
Source: JBMO 2008 Shortlist N1
October 14, 2017
JBMO
number theory
Problem Statement
Find all the positive integers
x
x
x
and
y
y
y
that satisfy the equation
x
(
x
−
y
)
=
8
y
−
7
x(x - y) = 8y - 7
x
(
x
−
y
)
=
8
y
−
7
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