Excel in math, science, and engineering

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The roots of the equation \( \large x^4 - 10x^3 + 26x^2 - 10x + 1 = 0 \) are in the form \( \large a \pm b \sqrt{c} \) ; \( \large d \pm \sqrt{e} \)

Find \( \large a + b + c + d + e . \)

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