%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
