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%I #5 Mar 30 2012 18:57:54
%S 6,5,5,9,9,6,4,2,4,4,5,2,3,9,1,5,4,8,0,7,3,1,0,7,1,3,0,8,6,9,5,9,7,5,
%T 3,4,3,6,2,2,5,1,1,8,1,0,8,9,5,4,2,1,0,3,4,8,3,4,8,2,4,0,6,8,3,3,7,7,
%U 2,5,6,3,0,6,8,6,8,4,6,5,6,9,0,5,6,9,8,8,7,7,5,5,8,7,5,2,2,1,2
%N Decimal expansion of greatest 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
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