find the sum of all positive real values of the parameter a, for which the equation (x^2 +4x +4a +136)^2 =16a(5x^2 +4x +136) has exactly three distinct real solutions.
find the sum of all positive real values of the parameter a, for which the equation (x^2 +4x +4a +136)^2 =16a(5x^2 +4x +136) has exactly three distinct real solutions.