A set of four distinct real numbers is called **round** if it satisfies \[
\begin{cases}
x_1^2+x_2=2,\\
x_2^2+x_3=2,\\
x_3^2+x_4=2,\\
x_4^2+x_1=2,\\
\end{cases}
\]
and \( x_1 = \min (x_1, x_2, x_3, x_4 ) \).

How many round sets are there?

×

Problem Loading...

Note Loading...

Set Loading...