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x_{2}=\frac{256-8\sqrt{826}}{4}
Factor 52864=8^{2}\times 826. Rewrite the square root of the product \sqrt{8^{2}\times 826} as the product of square roots \sqrt{8^{2}}\sqrt{826}. Take the square root of 8^{2}.
x_{2}=64-2\sqrt{826}
Divide each term of 256-8\sqrt{826} by 4 to get 64-2\sqrt{826}.