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Tournament Of Towns
1989 Tournament Of Towns
(226) 4
TOT 226 1989 Autumn O J4 x+ 1 / (y+ 1/z) = 10 / 7
TOT 226 1989 Autumn O J4 x+ 1 / (y+ 1/z) = 10 / 7
Source:
March 12, 2021
number theory
diophantine
Diophantine equation
Problem Statement
Find the positive integer solutions of the equation
x
+
1
y
+
1
z
=
10
7
x+ \frac{1}{y+ \frac{1}{z}}= \frac{10}{7}
x
+
y
+
z
1
1
=
7
10
(G. Galperin)
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