%I
%S 2,9,9,0,0,5,8,7,4,5,5,0,3,1,7,3,5,7,0,3,7,4,6,8,3,5,0,7,2,4,5,4,1,9,
%T 3,9,3,2,7,5,7,6,1,9,1,7,0,1,7,3,6,6,4,0,3,0,6,4,6,5,8,6,5,0,6,8,3,1,
%U 7,8,6,7,7,0,8,4,2,8,0,2,3,5,9,0,7,3,6,2,5,6,6,1,7,4,9,4,8,2,2
%N Decimal expansion of greatest x having 4*x^2+2x=cos(x).
%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e least x: 0.7460743621285644617325741898565306735...
%e greatest x: 0.29900587455031735703746835072454193932...
%t a = 4; b = 2; 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, .8, .7}, WorkingPrecision > 110]
%t RealDigits[r1] (* A198357 *)
%t r2 = x /. FindRoot[f[x] == g[x], {x, .29, .30}, WorkingPrecision > 110]
%t RealDigits[r2] (* A198358 *)
%Y Cf. A197737.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 24 2011
