# Parabol, The Fourth Eye

Level pending

For $$a² > 4b$$, let the function $$S(a,b)$$ be the area of the quadrilateral defined by four selected points of the parabola $$y =x²+ax+b$$, respectively the y-axis interception, the first x-axis interception, the vertex and the second x-axis interception.

The value of the expression

$$\displaystyle \dfrac{S(-2,-4)}{S(2,-4)}$$

can be written as an irreducible fraction $$\dfrac{m}{n}$$. Evaluate $$m+n$$.

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