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Decimal expansion of x<0 having 4*x^2+3x=sin(x).
2

%I #5 Mar 30 2012 18:57:54

%S 5,1,0,7,2,7,5,7,3,3,8,5,5,1,7,3,1,2,0,7,9,4,0,8,2,9,0,2,7,2,0,5,8,5,

%T 4,4,6,0,7,9,0,7,3,1,7,7,8,9,3,9,8,9,1,1,9,3,5,6,3,5,4,7,0,3,7,3,3,4,

%U 5,5,7,6,3,8,0,4,8,5,6,5,0,9,7,9,7,1,3,9,6,4,3,5,9,8,9,0,3,5,5

%N Decimal expansion of x<0 having 4*x^2+3x=sin(x).

%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.

%e x=-0.510727573385517312079408290272058544...

%t a = 4; b = 3; c = 1;

%t f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]

%t Plot[{f[x], g[x]}, {x, -1, .2}]

%t r = x /. FindRoot[f[x] == g[x], {x, -.51, -.5}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198541 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 26 2011