1. The problem statement, all variables and given/known data Two fixed charges, +1.07 uC and -3.28 uC, are 61.8 cm apart. Where may a third charge be located so that no net force acts on it? 2. Relevant equations Coulombs law 3. The attempt at a solution q1 = 1.07 uC q2 = -3.28 uC q3 = q q1 ----- q2 ----- q q1 and q2 are separated by 0.618 m and q2 and q are separated by x Since the charges are in equilibrium, 0 = k (1.07E-6)(q) / (0.618+x)^2 + k(1.07E-6)(q) / (x)^2 factoring out and eliminating k and q, (1.07E-6)/(0.618+x)^2 + (3.28E-6)/(x)^2 = 0 Solving for x gives me an imaginary distance. I feel like this is a very simple problem but I can't spot my error. What am I doing incorrectly? Thank you for your time.