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If one of the root of the equation x3+x2+x+1=202x^3+x^2+x+1 = 20^2x3+x2+x+1=202
can be expressed as −a−ib-a-i\sqrt{b}−a−ib for positive integers a,ba,ba,b
What is the value of a+ba+ba+b?
Details and Assumptions:
i=−1i = \sqrt{-1}i=−1
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