1. The problem statement, all variables and given/known data Given the polynomial function ##x^4+x^3+2x^2+4=0## solve it if you know that it has at least one complex zero whose real part equals the complex part. 2. Relevant equations 3. The attempt at a solution My guess is that if this function has one complex zero it must have a conjugate complex zero as well so we need to find those and two more. Im not sure how to start except realising that ##P(b-bi)=P(b+bi)=0## but solving the equation for that seems a lot of work and im sure theres an easir way. Should i use Viet's formulas or some other way to approach this?