# A Sum of Roots

Algebra Level 2

The product of all real solutions to the equation $\begin{array} {l l} \sqrt{4x^2+26x-129} - \sqrt{81 - 2x} \\ - \sqrt{4x^2 - 20x + 1734} + \sqrt{2x - 81} = 0 \\ \end{array}$ can be written as $\frac{a}{b}$ where $a$ and $b$ are positive coprime integers. Find $a+b$.

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