A358942 -id:A358942 - cp's OEIS frontend

A358939 Decimal expansion of the real root of x^5 + x^3 - 1.

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

Offset: 0

Wolfdieter Lang, Dec 15 2022

The other (complex) roots are 0.217853219392291296... + 1.16695124566484991...*i and -0.636663106805772389... + 0.664701565064356279...*i, together with their conjugates.

			0.83761977482696218499752729419180609392505451858960237912530556912378529...

Cf. A160155, A230152, A358940, A358941, A358942.

RealDigits[x /. FindRoot[x^5 + x^3 - 1, {x, 1}, WorkingPrecision -> 120], 10, 120][[1]] (* Amiram Eldar, Dec 15 2022 *)

A358940 Decimal expansion of the real root of x^5 - x^3 - 1.

Original entry on oeis.org

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

Offset: 1

Wolfdieter Lang, Dec 12 2022

The other (complex) roots are 0.340794866197006415... + 0.785423103049449080...*i and -0.959047717892755927... + 0.428365956254189316...*i, and their conjugates.

			1.23650570339149902433757480097614678268104294354611496776617384170726143...

Cf. A160155, A230152, A358939, A358941, A358942.

RealDigits[x /. FindRoot[x^5 - x^3 - 1, {x, 1}, WorkingPrecision -> 120], 10, 120][[1]] (* Amiram Eldar, Dec 15 2022 *)

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

Original entry on oeis.org

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

Wolfdieter Lang, Dec 15 2022

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

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

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

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

0.808730600479392013738554526511400064951377351559313075548116401836543340...

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A358939 Decimal expansion of the real root of x^5 + x^3 - 1.

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A358940 Decimal expansion of the real root of x^5 - x^3 - 1.

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

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