Almost Quartic Equation

Algebra Level 4

If one of the root of the equation x3+x2+x+1=202x^3+x^2+x+1 = 20^2

can be expressed as aib-a-i\sqrt{b} for positive integers a,ba,b

What is the value of a+ba+b?

Details and Assumptions:

i=1i = \sqrt{-1}

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