%I
%S 8,4,2,5,0,9,0,7,4,1,5,9,6,1,5,5,7,6,6,9,1,0,9,3,5,9,9,0,1,4,9,0,9,1,
%T 1,9,8,2,9,9,6,0,2,0,0,3,7,6,2,1,2,8,2,1,7,8,5,2,9,0,5,0,6,1,5,6,6,0,
%U 7,4,9,9,8,1,0,2,1,8,5,9,6,5,1,2,5,2,4,3,6,9,6,7,1,3,1,3,6,1,8
%N Decimal expansion of least x having 4*x^2+x=3*cos(x).
%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e least x: 0.84250907415961557669109359901490911...
%e greatest x: 0.655996424452391548073107130869590...
%t a = 4; b = 1; c = 3;
%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, .9, .8}, WorkingPrecision > 110]
%t RealDigits[r1] (* A198353 *)
%t r2 = x /. FindRoot[f[x] == g[x], {x, .65, .66}, WorkingPrecision > 110]
%t RealDigits[r2] (* A198354 *)
%Y Cf. A197737.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Oct 23 2011
