Tasty radicals & exponents

Algebra Level 4

4x2−2+x−5⋅2x−1+x2−2=6\large 4^{\sqrt{x^2-2}+x}-5\cdot 2^{x-1+\sqrt{x^2-2}}=6

Find the sum of all real roots for the equation above.

Sandeep Bhardwaj by Sandeep Bhardwaj
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