Let $$f(x, y) = -x^2 + 17 y^2 + 48 x y = (x\quad y)\begin{pmatrix} a & c \\ c & b\end{pmatrix} \begin{pmatrix} x \\ y\end{pmatrix}$$ What is $a + b + c$?

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Let $$f(x, y) = -x^2 + 17 y^2 + 48 x y = (x\quad y)\begin{pmatrix} a & c \\ c & b\end{pmatrix} \begin{pmatrix} x \\ y\end{pmatrix}$$ What is $a + b + c$? - Mentimeter