%I
%S 2,8,9,5,0,5,4,4,8,3,8,5,8,6,7,4,1,5,5,9,2,1,7,9,4,8,3,1,9,8,9,8,2,4,
%T 5,2,3,8,1,3,1,4,3,3,8,6,3,2,2,5,8,1,1,4,5,6,8,0,7,2,4,0,2,8,2,3,6,7,
%U 2,1,2,5,7,1,2,9,9,1,1,0,3,1,6,6,7,0,2,8,3,6,5,7,4,5,9,6,1,4,0
%N Decimal expansion of x>0 satisfying 2*x^2+3*x*cos(x)=1.
%C See A199170 for a guide to related sequences. The Mathematica program includes a graph.
%e negative: 1.11270716122321939210526043888351330910...
%e positive: 0.289505448385867415592179483198982452381...
%t a = 2; b = 3; c = 1;
%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, 3, 3}, {AxesOrigin > {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.1}, WorkingPrecision > 110]
%t RealDigits[r] (* A199273 *)
%t r = x /. FindRoot[f[x] == g[x], {x, .28, .29}, WorkingPrecision > 110]
%t RealDigits[r] (* A199274 *)
%Y Cf. A199170.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 04 2011
