MathDB
Problems
Contests
National and Regional Contests
China Contests
ASDAN Math Tournament
2016 ASDAN Math Tournament
7
2016 Algebra #7
2016 Algebra #7
Source:
August 6, 2022
2016
Algebra Test
Problem Statement
Let
x
x
x
,
y
y
y
, and
z
z
z
be real numbers satisfying the equations \begin{align*} 4x+2yz-6z+9xz^2&=4\\ xyz&=1. \end{align*} Find all possible values of
x
+
y
+
z
x+y+z
x
+
y
+
z
.
Back to Problems
View on AoPS