%I
%S 1,4,4,7,0,5,7,1,5,1,0,4,1,6,5,5,0,7,8,7,7,9,4,7,1,6,8,1,4,4,9,8,8,0,
%T 6,2,7,5,0,5,7,7,2,9,3,2,5,5,0,6,3,6,8,9,6,4,8,9,5,3,3,6,2,9,5,4,9,4,
%U 1,3,3,4,8,1,0,8,7,4,9,3,3,3,4,4,2,9,6,6,7,5,8,2,5,8,1,5,7,7,9
%N Decimal expansion of least x having 3*x^2+4x=4*cos(x).
%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e least x: 1.447057151041655078779471681449880627...
%e greatest x: 0.5817200797316597228428659232714882...
%t a = 3; b = 4; c = 4;
%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, 1.5, 1.4}, WorkingPrecision > 110]
%t RealDigits[r1] (* A198138 *)
%t r2 = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision > 110]
%t RealDigits[r2] (* A198139 *)
%Y Cf. A197737.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 23 2011
