Four roots

Algebra Level 4

The roots of the equation x410x3+26x210x+1=0 \large x^4 - 10x^3 + 26x^2 - 10x + 1 = 0 are in the form a±bc \large a \pm b \sqrt{c} ; d±e \large d \pm \sqrt{e}

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

This problem is a part of the sets - 3's & 4's & QuEsTiOnS.
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