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1966 Poland - Second Round
1
x+y+z+t=xyzt. diophantine
x+y+z+t=xyzt. diophantine
Source: Polish MO second round 1966 p1
August 28, 2024
diophantine
number theory
Problem Statement
Solve the equation in natural numbers
x
+
y
+
z
+
t
=
x
y
z
t
.
x+y+z+t=xyzt.
x
+
y
+
z
+
t
=
x
yz
t
.
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