Question 52
Find all real solutions to the following system of equations:
$$
\left\{\begin{aligned}
x+y+z+t & =5 \\
x y+y z+z t+t x & =4 \\
x y z+y z t+z t x+t x y & =3 \\
x y z t & =-1
\end{aligned}\right.
$$
$$
\left\{\begin{aligned}
x+y+z+t & =5 \\
x y+y z+z t+t x & =4 \\
x y z+y z t+z t x+t x y & =3 \\
x y z t & =-1
\end{aligned}\right.
$$