Find the Difference!

Algebra Level 2

xx is a positive real number which satisfies

11x221x+31+11x221x9=8. \sqrt {11x^2-21x+31}+\sqrt {11x^2-21x-9}=8.

What is the value of

11x221x+3111x221x9? \sqrt {11x^2-21x+31}-\sqrt {11x^2-21x-9} ?

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