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A198365 Decimal expansion of least x having 4*x^2+3x=3*cos(x). 3

%I

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

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

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

%N Decimal expansion of least x having 4*x^2+3x=3*cos(x).

%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.

%e least x: -1.0785971095688581117180854186330111...

%e greatest x: 0.51557881116466232291676062200909...

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

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

%t Plot[{f[x], g[x]}, {x, -2, 1}]

%t r1 = x /. FindRoot[f[x] == g[x], {x, -1.1, -1.0}, WorkingPrecision -> 110]

%t RealDigits[r1] (* A198365 *)

%t r2 = x /. FindRoot[f[x] == g[x], {x, .51, .52}, WorkingPrecision -> 110]

%t RealDigits[r2] (* A198366 *)

%Y Cf. A197737.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Oct 24 2011

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Last modified August 9 20:09 EDT 2020. Contains 336326 sequences. (Running on oeis4.)