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%I #5 Mar 30 2012 18:57:54
%S 1,2,4,8,8,9,2,2,6,4,6,3,6,2,1,5,2,6,8,8,1,6,8,4,2,2,5,4,1,9,7,9,4,9,
%T 2,4,4,4,9,2,3,3,4,2,5,5,8,9,3,6,7,3,6,0,9,9,4,7,8,6,3,4,6,0,5,0,7,2,
%U 9,6,7,0,7,9,5,1,7,7,1,3,2,1,0,5,3,3,6,8,5,9,6,3,6,2,7,0,1,4,4
%N Decimal expansion of greatest x having 3*x^2-4x=-cos(x).
%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e least x: 0.310259191918510960781595559044242...
%e greatest x: 1.2488922646362152688168422541979...
%t a = 3; b = -4; c = -1;
%t f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
%t Plot[{f[x], g[x]}, {x, -1, 2}]
%t r1 = x /. FindRoot[f[x] == g[x], {x, -.4, -.3}, WorkingPrecision -> 110]
%t RealDigits[r1] (* A198345 *)
%t r2 = x /. FindRoot[f[x] == g[x], {x, 1.24, 1.25}, WorkingPrecision -> 110]
%t RealDigits[r2] (* A198346 *)
%Y Cf. A197737.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 23 2011
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