Forgot password? New user? Sign up

Existing user? Log in

Given that $x$, $y$ and $z$ are complex numbers such that:

$x+y+z=3$

$x^3+y^3+z^3=15$

$x^4+y^4+z^4=35$

Find the sum of all the possible values of $x^2(x^3+1)+y^2(y^3+1)+z^2(z^3+1)$.

Problem Loading...

Note Loading...

Set Loading...