# Fraction

Algebra Level 3

It is given that $$x+\dfrac{1}{x}=4$$ and $$\dfrac{Ax^{2}}{x^{4}+x^{2}+1}=\dfrac{49}{750}$$.

If the value of $$A$$ can be expressed as $$\dfrac {m}{n}$$, where $$m$$ and $$n$$ are coprime positive integers, what is the value of $$m+n$$?

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