Consider the conic ex^(2)+piy^(2)-2e^(2)...

Consider the conic `ex^(2)+piy^(2)-2e^(2)x-2pi^(2)y+e^(3)+pi^(3)= pie`. Suppose P is any point on the conic and `S_(1),S_(2)` are the foci of conic, then the maximum value of `(PS_(1)+PS_(2))` is -

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