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Contests
National and Regional Contests
India Contests
India National Olympiad
2002 India National Olympiad
3
3
Part of
2002 India National Olympiad
Problems
(1)
Inegalité indian
Source: India National Olympiad 2002, Problem 3
10/10/2005
If
x
x
x
,
y
y
y
are positive reals such that
x
+
y
=
2
x + y = 2
x
+
y
=
2
show that
x
3
y
3
(
x
3
+
y
3
)
≤
2
x^3y^3(x^3+ y^3) \leq 2
x
3
y
3
(
x
3
+
y
3
)
≤
2
.
calculus
algebra
polynomial
india
inequalities proposed
Inequality