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1990 Greece Junior Math Olympiad
2
2-var maximum - Greece Juniors 1990 p2
2-var maximum - Greece Juniors 1990 p2
Source:
September 14, 2024
algebra
inequalities
Problem Statement
For which real values of
x
,
y
x,y
x
,
y
the expression
2
−
(
x
+
y
3
−
1
)
2
(
x
−
3
2
+
2
y
−
x
3
)
2
+
4
\frac{2-\left(\dfrac{x+y}{3}-1\right)^2}{\left(\dfrac{x-3}{2}+\dfrac{2y-x}{3}\right)^2+4}
(
2
x
−
3
+
3
2
y
−
x
)
2
+
4
2
−
(
3
x
+
y
−
1
)
2
becomes maximum? Which is that maximum value?
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