Edit Problem

Problem Description Let \(P\) be the product of the roots of \(z^6+z^4+z^3+z^2+1=0\) that have positive imaginary part, and suppose that \(P=r(\cos \theta^\circ+i\sin \theta^\circ),\) where \(0<r\) and \(0\le \theta <360.\) Find \(\theta.\)

Diagram (TikZ Code)

Solution 276

Tags

Difficulty

Source