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A198997 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=2.

%I A198997 #8 Feb 07 2025 19:45:41
%S A198997 9,6,3,3,6,4,2,1,3,4,8,2,5,1,6,6,6,6,6,0,5,9,9,9,3,3,4,7,8,9,9,4,3,7,
%T A198997 5,2,3,6,1,3,3,0,0,4,9,8,4,2,6,8,7,7,5,1,8,9,7,3,9,8,7,0,1,5,2,3,9,2,
%U A198997 3,5,1,5,6,0,0,5,8,6,0,6,0,8,2,7,6,6,5,8,5,7,3,7,9,4,6,4,6,2,6
%N A198997 Decimal expansion of x>0 satisfying 4*x^2-3*cos(x)=2.
%C A198997 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198997 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198997 0.9633642134825166666059993347899437523613300...
%t A198997 a = 4; b = -3; c = 2;
%t A198997 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198997 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198997 r = x /. FindRoot[f[x] == g[x], {x, .96, .97}, WorkingPrecision -> 110]
%t A198997 RealDigits[r] (* A198997 *)
%Y A198997 Cf. A198755.
%K A198997 nonn,cons
%O A198997 0,1
%A A198997 _Clark Kimberling_, Nov 01 2011