Question 144
Solve the following system of equations.
$$
\begin{cases} x - y + z - w = 2, \\ x^2 - y^2 + z^2 - w^2 = 6, \\ x^3 - y^3 + z^3 - w^3 = 20, \\ x^4 - y^4 + z^4 - w^4 = 66. \end{cases}
$$
$$
\begin{cases} x - y + z - w = 2, \\ x^2 - y^2 + z^2 - w^2 = 6, \\ x^3 - y^3 + z^3 - w^3 = 20, \\ x^4 - y^4 + z^4 - w^4 = 66. \end{cases}
$$