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%I #5 Mar 30 2012 18:57:53
%S 1,5,2,7,9,9,9,7,1,2,0,3,6,8,4,0,6,3,3,5,2,0,8,3,6,6,9,3,8,8,8,9,0,4,
%T 6,6,3,6,7,6,3,7,5,9,3,9,9,4,1,6,2,5,9,9,2,0,8,7,2,7,8,7,3,2,5,4,0,3,
%U 7,9,1,6,5,3,5,9,8,1,0,2,5,1,2,5,7,5,0,2,9,4,2,8,6,0,8,7,8,9,6
%N Decimal expansion of least x having 2*x^2+3x=2*cos(x).
%C See A197737 for a guide to related sequences. The Mathematica program includes a graph.
%e least x: -1.52799971203684063352083669388890466...
%e greatest x: 0.458061086830838048904156490023125...
%t a = 2; b = 3; c = 2;
%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, -1.53, -1.52}, WorkingPrecision -> 110]
%t RealDigits[r1](* A198130 *)
%t r2 = x /. FindRoot[f[x] == g[x], {x, .45, .46}, WorkingPrecision -> 110]
%t RealDigits[r2](* A198131 *)
%Y Cf. A197737.
%K nonn,cons
%O 1,2
%A _Clark Kimberling_, Oct 22 2011
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