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%I #5 Mar 30 2012 18:57:57
%S 9,0,1,9,8,3,1,0,6,0,0,2,4,1,7,9,6,4,4,9,5,8,2,1,5,3,6,5,7,7,0,9,7,8,
%T 7,4,6,7,7,4,7,3,8,1,9,3,2,2,4,4,7,5,1,4,4,3,8,6,9,1,0,5,5,5,2,9,0,4,
%U 7,2,5,0,3,6,6,9,0,2,9,7,1,3,7,3,0,3,5,1,7,8,5,7,0,8,7,4,6,4,2
%N Decimal expansion of x>0 satisfying 3*x^2+x*cos(x)=3.
%C See A199170 for a guide to related sequences. The Mathematica program includes a graph.
%e negative: -1.081411597194677548285153751592164...
%e positive: 0.901983106002417964495821536577097...
%t a = 3; b = 1; c = 3;
%t f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
%t r = x /. FindRoot[f[x] == g[x], {x, -1.1, -1.0}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199283 *)
%t r = x /. FindRoot[f[x] == g[x], {x, .9, 1}, WorkingPrecision -> 110]
%t RealDigits[r] (* A199284 *)
%Y Cf. A199170.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 05 2011
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