MathDB
Problems
Contests
National and Regional Contests
Vietnam Contests
Hanoi Open Mathematics Competition
2012 Hanoi Open Mathematics Competitions
15
Determine the smallest value
Determine the smallest value
Source: algebra; AMC
January 29, 2016
AMC
algebra
Problem Statement
[Help me] Determine the smallest value of the sum M =xy-yz-zx where x; y; z are real numbers satisfying the following condition
x
2
+
2
y
2
+
5
z
2
=
22
x^2+2y^2+5z^2 = 22
x
2
+
2
y
2
+
5
z
2
=
22
.
Back to Problems
View on AoPS