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A198869 Decimal expansion of x>0 satisfying 2*x^2+2*cos(x)=3.

%I A198869 #12 Feb 07 2025 16:44:05
%S A198869 9,6,4,4,2,0,4,4,6,8,5,1,1,0,3,3,9,9,2,6,0,3,5,6,9,0,9,1,2,4,7,2,7,2,
%T A198869 0,6,5,1,4,3,3,9,5,4,3,6,0,4,6,8,2,7,4,8,9,4,8,5,5,2,7,3,1,6,7,3,1,8,
%U A198869 0,2,3,9,9,9,0,9,4,8,1,8,4,2,2,4,7,0,3,6,2,1,2,7,2,7,3,0,8,4,4
%N A198869 Decimal expansion of x>0 satisfying 2*x^2+2*cos(x)=3.
%C A198869 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198869 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198869 0.96442044685110339926035690912472720651433...
%t A198869 a = 2; b = 2; c = 3;
%t A198869 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198869 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198869 r = x /. FindRoot[f[x] == g[x], {x, .94, .95}, WorkingPrecision -> 110]
%t A198869 RealDigits[r] (* A198869 *)
%Y A198869 Cf. A198755.
%K A198869 nonn,cons
%O A198869 0,1
%A A198869 _Clark Kimberling_, Oct 31 2011