Nested fight back!

Algebra Level 5

x=19+9119+9119+9119+9119+91xx = \sqrt{19} + \dfrac{91}{{\sqrt{19}+\dfrac{91}{{\sqrt{19}+\dfrac{91}{{\sqrt{19}+\dfrac{91}{{\sqrt{19}+\dfrac{91}{x}}}}}}}}}

Find A2A^2_{} , where AA^{}_{} is the sum of the absolute values of all roots of the equation above.

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