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A198112 Decimal expansion of least x having 2*x^2+x=cos(x). 3

%I

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

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

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

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

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

%e least x: -0.870316341177487538672405292348150615...

%e greatest x: 0.4639023825974119097567031695353505...

%t a = 2; b = 1; c = 1;

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

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

%t r1 = x /. FindRoot[f[x] == g[x], {x, -0.88, -0.87}, WorkingPrecision -> 110]

%t RealDigits[r1](* A198112 *)

%t r2 = x /.FindRoot[f[x] == g[x], {x, 4.6, 4.7}, WorkingPrecision -> 110]

%t RealDigits[r2](* A198113 *)

%Y Cf. A197737.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 21 2011

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Last modified September 27 12:30 EDT 2020. Contains 337380 sequences. (Running on oeis4.)