MathDB
Problems
Contests
National and Regional Contests
Moldova Contests
JBMO TST - Moldova
2002 Junior Balkan Team Selection Tests - Moldova
9
8 (a^4 + b^4) >=1 1 if a + b >=1
8 (a^4 + b^4) >=1 1 if a + b >=1
Source: 2002 Moldova JBMO TST p9
February 25, 2021
inequalities
algebra
Problem Statement
The real numbers
a
a
a
and
b
b
b
satisfy the relation
a
+
b
≥
1
a + b \ge 1
a
+
b
≥
1
. Show that
8
(
a
4
+
b
4
)
≥
1
8 (a^4 + b^4) \ge 1
8
(
a
4
+
b
4
)
≥
1
.
Back to Problems
View on AoPS