User:Drdan14/Sandbox

$$ \omega_\text{lhr} = \frac{1}{\sqrt{2}} \sqrt{ \omega_{ce}^2 + \omega_{ci}^2 + \omega_{pe}^2 + \omega_{pi}^2 - \sqrt{ \left( \omega_{ce}^2 - \omega_{ci}^2 + \omega_{pe}^2 \right)^2 + 2( -\omega_{ce}^2 + \omega_{ci}^2 + \omega_{pe}^2 ) \omega_{pi}^2 + \omega_{pi}^4 }} $$