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Nicolae Coculescu
2007 Nicolae Coculescu
1
Integer part of expression dependent on the sides of a triangle
Integer part of expression dependent on the sides of a triangle
Source:
December 13, 2019
geometry
algebra
Floor
inequalities
three variable inequality
Problem Statement
Calculate
⌊
(
a
2
+
b
2
+
c
2
)
(
a
+
b
+
c
)
a
3
+
b
3
+
c
3
⌋
,
\left\lfloor \frac{(a^2+b^2+c^2)(a+b+c)}{a^3+b^3+c^3} \right\rfloor ,
⌊
a
3
+
b
3
+
c
3
(
a
2
+
b
2
+
c
2
)
(
a
+
b
+
c
)
⌋
,
where
a
,
b
,
c
a,b,c
a
,
b
,
c
are the lengths of the side of a triangle. Costel Anghel
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