Question

Solve the system of simultaneous equations.
\[w\] is a solution of the equation z ^{3} = 1.

\[x + y + z = 3\]
\[x +wy + w ^{2} z = -3\]
\[x +w ^{2}y + wz = -3\]

Thanks for any help.

Answer 1

So why can't I just put a 1 everywhere I see a z....

Answer 2

It could be one of the 2 imaginary roots as well?

Answer 3

Aah.....