how would i find all thew roots of a polynomial like this
i have looked all over but cant find another example that includes anything like the (1-j)z term
(1) first convert it to the reduced quartic:
via a change of variable . Doing this I get:
Substituting this into the resolvent cubic:
This can now be solved as a cubic using the old-school approach to cubics. Make all the back substitutions to arrive at the roots. Lotta' work. Maybe an easier way though.