VMO 2016

Algebra Level 5

\[\left\{\begin{matrix} 6x-y+z^2=3 & & \\ x^2-y^2-2z=-1 & & \\ 6x^2-3y^2-y-2z^2=0 & & \end{matrix}\right.\]

Given that \(x,y\) and \(z\) are real number, how many pair of \((x,y,z)\) satisfy this equation above

×

Problem Loading...

Note Loading...

Set Loading...