A358941 Decimal expansion of the real root of x^5 + x^2 - 1.

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

Offset: 0

Author

Wolfdieter Lang, Dec 15 2022

Keywords

• nonn
• cons

Comments

The other (complex) roots are 0.464912201602897854... + 1.07147384027026940...*i, and -0.869277501842593861 + 0.388269406599740355...*i, and their conjugates.

Crossrefs

Cf. A160155, A230152, A358939, A358940, A358942.

Programs

Mathematica

RealDigits[x /. FindRoot[x^5 + x^2 - 1, {x, 1}, WorkingPrecision -> 120], 10, 120][[1]] (* Amiram Eldar, Dec 15 2022 *)

PARI

solve(x=0, 1, x^5 + x^2 - 1) \\ Michel Marcus, Dec 19 2022

Formula

0.808730600479392013738554526511400064951377351559313075548116401836543340...