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Decimal expansion of the largest real root of the quintic equation x^5 + 2*x^4 - 2*x^3 - x^2 + 2*x -1 = 0.
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%I #10 Oct 27 2023 10:32:35

%S 7,6,6,6,0,8,6,5,4,0,7,2,8,9,1,2,0,3,7,8,3,1,8,8,4,7,2,9,8,5,2,3,0,5,

%T 9,6,7,2,1,1,4,5,4,8,5,5,4,0,5,5,5,6,7,9,4,7,1,5,5,8,0,5,0,6,2,4,5,9,

%U 6,3,0,9,1,2,9,1,6,3,5,2,8,9,0,5,6,2,7,7,4,8,3,2,9,2,2,5,6,6,1,8,8,9,6,9,8

%N Decimal expansion of the largest real root of the quintic equation x^5 + 2*x^4 - 2*x^3 - x^2 + 2*x -1 = 0.

%C See comments in A103546.

%H <a href="/index/Al#algebraic_05">Index entries for algebraic numbers, degree 5</a>

%e 0.76660865407289120......

%t RealDigits[Root[x^5+2x^4-2x^3-x^2+2x-1,3],10,120][[1]] (* _Harvey P. Dale_, May 19 2019 *)

%o (PARI) polrootsreal(x^5 + 2*x^4 - 2*x^3 - x^2 + 2*x -1)[3] \\ _Charles R Greathouse IV_, Apr 15 2014

%Y Cf. A103546.

%K cons,nonn

%O 0,1

%A Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Mar 24 2005