MathDB
Problems
Contests
National and Regional Contests
Moldova Contests
Chisinau City MO
1979 Chisinau City MO
175
175
Part of
1979 Chisinau City MO
Problems
(1)
Chisinau MO p175 1979 IX 1/a + 1/b + 1/c >= 9 id a+b+c=1
Source:
3/17/2021
Prove that if the sum of positive numbers
a
,
b
,
c
a, b, c
a
,
b
,
c
is equal to
1
1
1
, then
1
a
+
1
b
+
1
c
≥
9.
\frac{1}{a}+\frac{1}{b}+\frac{1}{c} \ge 9.
a
1
+
b
1
+
c
1
≥
9.
algebra
inequalities