2014 UMO Problems/Problem 5
Problem
Find all positive real numbers 
, and 
that satisfy both of the following equations.
$\begin{align*} xyz & = 1\\
x^2 + y^2 + z^2 & = 4x\sqrt{yz}- 2yz \end{align*}$ (Error compiling LaTeX. Unknown error_msg)
Solution
See Also
| 2014 UMO (Problems • Answer Key • Resources) | ||
| Preceded by Problem 4 |
Followed by Problem 6 | |
| 1 • 2 • 3 • 4 • 5 • 6 | ||
| All UMO Problems and Solutions | ||
