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A198919 Decimal expansion of x>0 satisfying 3*x^2+2*cos(x)=3.

%I A198919 #8 Feb 07 2025 17:46:29
%S A198919 7,0,0,1,0,8,3,9,5,0,4,1,6,3,1,4,3,1,5,3,1,5,6,1,9,4,0,3,6,5,4,1,4,6,
%T A198919 1,3,5,5,7,2,0,0,9,9,9,6,3,3,2,6,5,3,0,6,7,0,4,0,9,6,6,2,6,2,8,7,9,6,
%U A198919 8,2,3,8,9,8,0,7,4,1,3,5,2,0,6,5,0,8,2,9,2,6,3,6,0,2,0,1,0,0,6
%N A198919 Decimal expansion of x>0 satisfying 3*x^2+2*cos(x)=3.
%C A198919 See A198755 for a guide to related sequences. The Mathematica program includes a graph.
%H A198919 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A198919 0.700108395041631431531561940365414613557200999...
%t A198919 a = 3; b = 2; c = 3;
%t A198919 f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
%t A198919 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A198919 r = x /. FindRoot[f[x] == g[x], {x, .7, 7.1}, WorkingPrecision -> 110]
%t A198919 RealDigits[r] (* A198919 *)
%Y A198919 Cf. A198755.
%K A198919 nonn,cons
%O A198919 0,1
%A A198919 _Clark Kimberling_, Oct 31 2011