Let f : R – {0} → (– ∞ , 1) be a polynomial of degree 2, satisfying f (x) f ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ x 1 = f (x) + f ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ x 1 . If ƒ (K) = –2K, then the sum of squares of all possible values of K is :

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Let f : R – {0} → (– ∞ , 1) be a polynomial of degree 2, satisfying f (x) f ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ x 1 = f (x) + f ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ x 1 . If ƒ (K) = –2K, then the sum of squares of all possible values of K is :

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