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Putnam
1981 Putnam
B2
B2
Part of
1981 Putnam
Problems
(1)
Putnam 1981 B2
Source: Putnam 1981
3/31/2022
Determine the minimum value of
(
r
−
1
)
2
+
(
s
r
−
1
)
2
+
(
t
s
−
1
)
2
+
(
4
t
−
1
)
2
(r-1)^2 + \left(\frac{s}{r}-1 \right)^2 + \left(\frac{t}{s}-1 \right)^{2} + \left( \frac{4}{t} -1 \right)^2
(
r
−
1
)
2
+
(
r
s
−
1
)
2
+
(
s
t
−
1
)
2
+
(
t
4
−
1
)
2
for all real numbers
1
≤
r
≤
s
≤
t
≤
4.
1\leq r \leq s \leq t \leq 4.
1
≤
r
≤
s
≤
t
≤
4.
Putnam
inequalities