Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Let
p
,
q
,
r
p, q, r
p
,
q
,
r
are positive real numbers, such that
27
p
q
r
≥
(
p
+
q
+
r
)
3
27pqr \ge (p+q+r)^3
27
pq
r
≥
(
p
+
q
+
r
)
3
and
3
p
+
4
q
+
5
r
=
12
3p+4q+5r=12
3
p
+
4
q
+
5
r
=
12
, then
p
3
+
q
4
+
r
5
=
p^3 + q^4 + r^5 =
p
3
+
q
4
+
r
5
=
(a) 3 (b) 6 (c) 2 (d) 4
Browse the problem library