1. The problem statement, all variables and given/known data z^4 - z^2 + 1 = 0 is an equation in ℂ. Which of the following alternatives is the sum of two roots of this equation: (i) 2√3; (ii) -(√3)/2; (iii) (√3)/2; (iv) -i; (v) i/2 2. Relevant equations 3. The attempt at a solution All I know is that the sum of all roots should equal 0, because that's the coefficient in front of the second highest degree term. And that the sum of the roots squared should equal 2, because that is the coefficient of the second highest degree term plus -2 times the third highest degree term.