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National and Regional Contests
Turkey Contests
Turkey Team Selection Test
1991 Turkey Team Selection Test
2
Turkey TST 1991 - P2
Turkey TST 1991 - P2
Source:
March 13, 2011
number theory proposed
number theory
Problem Statement
Show that the equation
a
2
+
b
2
+
c
2
+
d
2
=
a
2
⋅
b
2
⋅
c
2
⋅
d
2
a^2+b^2+c^2+d^2=a^2\cdot b^2\cdot c^2\cdot d^2
a
2
+
b
2
+
c
2
+
d
2
=
a
2
⋅
b
2
⋅
c
2
⋅
d
2
has no solution in positive integers.
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