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A198918 Decimal expansion of x>0 satisfying 3*x^2+cos(x) = 4. 2

%I #7 Jun 17 2022 14:53:20

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

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

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

%N Decimal expansion of x>0 satisfying 3*x^2+cos(x) = 4.

%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.

%e x = 1.0852510131397580205120939483276057918898...

%t a = 3; b = 1; c = 4;

%t f[x_] := a*x^2 + b*Cos[x]; g[x_] := c

%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1, 1.1}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198918 *)

%Y Cf. A198755.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Oct 31 2011

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Last modified March 28 09:01 EDT 2024. Contains 371236 sequences. (Running on oeis4.)