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A198935 Decimal expansion of x>0 satisfying 3*x^2-3*cos(x)=4.

%I A198935 #8 Feb 07 2025 17:56:46
%S A198935 1,2,7,4,7,7,4,6,9,7,2,9,2,4,4,9,5,6,0,6,0,1,9,2,6,0,6,4,0,1,0,6,3,8,
%T A198935 0,9,7,0,8,4,7,1,2,6,1,6,5,2,3,7,3,0,0,4,2,0,3,1,6,6,5,7,2,3,0,1,3,9,
%U A198935 6,5,5,5,3,5,4,7,1,7,7,6,2,3,7,4,4,4,0,2,0,1,6,2,9,8,1,7,5,0,8
%N A198935 Decimal expansion of x>0 satisfying 3*x^2-3*cos(x)=4.
%C A198935 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198935 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198935 1.27477469729244956060192606401063809708471...
%t A198935 a = 3; b = -3; c = 4;
%t A198935 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198935 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198935 r = x /. FindRoot[f[x] == g[x], {x, 1.2, 1.3}, WorkingPrecision -> 110]
%t A198935 RealDigits[r] (* A198935 *)
%Y A198935 Cf. A198755.
%K A198935 nonn,cons
%O A198935 1,2
%A A198935 _Clark Kimberling_, Nov 01 2011