Four roots

Algebra Level 4

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