Let a,b,c be positive real numbers satisfying
a+b+c=a2+b2+c2.
Let
M = \max\left(\frac{2a^2}{b} + c, \frac{2b^2}{a} + c \right) \text{ and } N = \min(a^2 + b^2, c^2).
Find the minimum possible value of M/N. inequalitiesratioinequalities proposedalgebra