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1
Math Prize 2022 Problem 1
Math Prize 2022 Problem 1
Source:
October 12, 2022
Problem Statement
Determine the real value of
t
t
t
that minimizes the expression
t
2
+
(
t
2
−
1
)
2
+
(
t
−
14
)
2
+
(
t
2
−
46
)
2
.
\sqrt{t^2 + (t^2 - 1)^2} + \sqrt{(t-14)^2 + (t^2 - 46)^2}.
t
2
+
(
t
2
−
1
)
2
+
(
t
−
14
)
2
+
(
t
2
−
46
)
2
.
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