Identical Deformation With Radicals

Algebra Level 5

x21x2x^{2}-\frac{1}{x^{2}}

x x is a value that satisfies x1x=2\sqrt{x}-\frac{1}{\sqrt{x}}=-2. When substituted into the above expression, we obtain the value aba\sqrt{b}, where aa and bb are integers with bb square-free. Find a+b|a+b|.

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