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The version 10.3 of ESET NOD32 Antivirus Smart Security has not been released yet. Read More..
– If all works fine check again with the version 10.3.
Hope that helps.

Q:

How to solve this relation on symmetrics functions?

I am currently trying to find the symmetrics functions $f_x$ and $f_y$, with $f$ defined by the relation:
$$ f(x,y) = \left| \begin{array}{ccc} \frac{x}{a} & \frac{y}{a} & 1\\ \frac{y}{b} & \frac{x}{b} & 1\\ 1 & 1 & 1 \end{array} \right| \cdot \frac{1}{c(a+b)^2}$$
My problem is that I do not know how to proceed since the unknown function for $c$ appears in this relation.

A:

$$
f(x,y)=\frac{1}{c(a+b)^2} \left|
\begin{array}{ccc}
\frac{x}{a} & \frac{y}{a} & 1 \\
\frac{y}{b} & \frac{x}{b} & 1 \\
1 & 1 & 1 \end{array}
\right|
$$
Simplify using the law of cosines:
$$
\begin{align}
f(x,y)&=\frac{1}{c(a+b)^2} \left|
\begin{array}{ccc}
\frac{x}{a} & \frac{y}{a} & 1 \\
\frac{y}{b} & \frac{x}{b} & 1 \\
1 & 1 & 1 \end{array}
\right| \\
&= \frac{a^2 + b^2}{2c(a+b)^2} \\
&

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