# Don't Hug Me I'm Scared

Geometry Level 5

$x^9 - 3x^7 - 30x^6 + 3x^5 - 30x^4 + 299x^3 - 30x^2 + 600x -990$

Consider a triangle whose sides are $$a,b,c$$, the real roots of the equation above. For nomenclature, consider that opposed to the side $$x$$ lies the angle $$X$$.

Evaluate $\dfrac{\cos\left( \dfrac{A-C}{2} \right) }{\cos \left(\dfrac{A+C}{2} \right)}$

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