I have the following quadratic equation :
$m^2 + m(p-1/l) - (\Omega_x^2 + \Omega_y^2)=0$
I would like to get the solution in terms of $\Omega_x, \Omega_y$ with some approximations i.e. neglecting $(p-1/l)$ term.
Is it possible to express $m\approx\Omega_x + \Omega_y$ ? or any other form. Since I do not want roots in my approximated solution.