1991 AIME Problem 7

Find A^{2}, where A is the sum of the absolute values of all roots of the following equation:

x=\sqrt{19}+\dfrac{91}{\sqrt{19}+\dfrac{91}{\sqrt{19}+\dfrac{91}{\sqrt{19}+\dfrac{91}{\sqrt{19}+\dfrac{91}{x}}}}}