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Algebra Level 2

$x$ is a positive real number which satisfies

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

What is the value of

$\sqrt {11x^2-21x+31}-\sqrt {11x^2-21x-9} ?$

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by Muh. Amin Widyatama

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