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%I #5 Mar 30 2012 18:57:54
%S 1,2,0,0,7,7,7,2,7,8,5,1,7,3,9,1,2,9,0,6,6,3,6,5,4,5,8,7,6,8,2,6,7,1,
%T 2,8,3,9,0,6,4,6,0,6,7,4,0,2,6,8,3,9,5,7,3,8,7,5,7,4,8,1,3,5,6,4,6,4,
%U 3,0,1,6,8,4,8,9,1,9,8,5,8,9,2,9,7,8,0,6,7,0,0,6,1,6,9,7,4,2,9
%N Decimal expansion of least x having 3*x^2+3x=2*cos(x).
%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e least x: -1.200777278517391290663654587682671...
%e greatest x: 0.4258157107483169845689223216341480870...
%t a = 3; b = 3; c = 2;
%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, -1.3, -1.2}, WorkingPrecision -> 110]
%t RealDigits[r1](* A198232 *)
%t r2 = x /. FindRoot[f[x] == g[x], {x, .42, .43}, WorkingPrecision -> 110]
%t RealDigits[r2](* A198233 *)
%Y Cf. A197737.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 23 2011
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