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Putnam
1977 Putnam
A2
A2
Part of
1977 Putnam
Problems
(1)
Putnam 1977 A2
Source:
4/7/2022
Determine all solutions in real numbers
x
,
y
,
z
,
w
x,y,z,w
x
,
y
,
z
,
w
of the system
x
+
y
+
z
=
w
,
1
x
+
1
y
+
1
z
=
1
w
.
x+y+z=w, \frac{1}{x}+\frac{1}{y}+\frac{1}{z}=\frac{1}{w}.
x
+
y
+
z
=
w
,
x
1
+
y
1
+
z
1
=
w
1
.
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