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min of 2x^4 - 2x^2y^2 + y^4 - 8x^2 + 18 (1996 Greece Junior p3)
min of 2x^4 - 2x^2y^2 + y^4 - 8x^2 + 18 (1996 Greece Junior p3)
Source:
March 17, 2020
inequalities
minimum
algebra
Problem Statement
Determine the minimum value of the expression
2
x
4
−
2
x
2
y
2
+
y
4
−
8
x
2
+
18
2x^4 - 2x^2y^2 + y^4 - 8x^2 + 18
2
x
4
−
2
x
2
y
2
+
y
4
−
8
x
2
+
18
where
x
,
y
∈
R
x, y \in R
x
,
y
∈
R
.
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