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74
Solve the equation : 1/x + 1/y + 1/z = 4/5 in N
Solve the equation : 1/x + 1/y + 1/z = 4/5 in N
Source:
September 14, 2010
number theory proposed
number theory
Problem Statement
Find all triples of positive integers
x
,
y
,
z
x, y, z
x
,
y
,
z
satisfying
1
x
+
1
y
+
1
z
=
4
5
.
\frac{1}{x} +\frac{1}{y} + \frac{1}{z} = \frac{4}{5} .
x
1
+
y
1
+
z
1
=
5
4
.
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