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2020 MOAA
TO4
TO4
Part of
2020 MOAA
Problems
(1)
2020 MOAA Theme Optimization TO 4
Source:
1/23/2022
Over all real numbers
x
x
x
, let
k
k
k
be the minimum possible value of the expression
x
2
+
9
+
x
2
−
6
x
+
45
.
\sqrt{x^2 + 9} +\sqrt{x^2 - 6x + 45}.
x
2
+
9
+
x
2
−
6
x
+
45
.
Determine
k
2
k^2
k
2
.
algebra
team
2020