MathCastle
ChallengeMedium

Challenge · Medium problem

Let r1,r2,r3,r4r_1,r_2,r_3,r_4 be the roots of x4+x3+x2+x+1=0x^4+x^3+x^2+x+1=0. Compute ∑i=1411−ri\displaystyle\sum_{i=1}^{4}\dfrac{1}{1-r_i}.

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