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2023 CUBRMC
7
2023 CUBRMC Team #7 min a if a^4 + 2a^2b + 2ab + b^2 = 960
2023 CUBRMC Team #7 min a if a^4 + 2a^2b + 2ab + b^2 = 960
Source:
March 8, 2024
algebra
inequalities
cubrmc
Problem Statement
Among all ordered pairs of real numbers
(
a
,
b
)
(a, b)
(
a
,
b
)
satisfying
a
4
+
2
a
2
b
+
2
a
b
+
b
2
=
960
a^4 + 2a^2b + 2ab + b^2 = 960
a
4
+
2
a
2
b
+
2
ab
+
b
2
=
960
, find the smallest possible value for
a
a
a
.
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