Let a, b and c be such that $ a+b+c = 0 $ and
$ l^2 = \frac{a^2}{2a^2+bc} + \frac{b^2}{2b^2+ac} + \frac{c^2}{2c^2+ba} $
The what is the value of l
My approach : I could just put in the adequate values of a,b and c and check what comes out to be the value of $l$.
However I am looking for a more general approach to solve the following problem , I thought of using Lagrangian to solve , but that process looks to be too lengthy.
Any insight on what approach to follow would be welcome.
