They Are All Related To Each Other!
Algebra
Level
3
\[\large \begin {cases} x+y=\sqrt{4z-1}\\y+z=\sqrt{4x-1}\\x+z=\sqrt{4y-1}\end {cases} \]
How many ordered triplets of real numbers \((x,y,z)\) satisfy the system of equations above?
by
Jerry Han Jia Tao