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A199155 Decimal expansion of x>0 satisfying 3*x^2+2*sin(x)=2.

%I A199155 #8 Feb 07 2025 16:44:05
%S A199155 5,5,9,3,7,2,1,7,0,8,1,3,1,2,7,0,4,7,7,6,5,6,2,9,6,4,7,3,2,6,5,4,8,9,
%T A199155 2,0,7,0,8,1,5,6,2,5,3,5,4,4,2,3,2,2,2,9,8,4,0,6,5,6,7,2,9,4,5,4,1,6,
%U A199155 4,0,8,0,2,8,3,7,1,8,3,6,5,6,4,6,9,0,6,8,6,3,4,4,1,5,1,6,0,7,2
%N A199155 Decimal expansion of x>0 satisfying 3*x^2+2*sin(x)=2.
%C A199155 See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%H A199155 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199155 negative: -1.126299940993877523992867733641868507222...
%e A199155 positive:  0.559372170813127047765629647326548920708...
%t A199155 a = 3; b = 2; c = 2;
%t A199155 f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t A199155 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A199155 r = x /. FindRoot[f[x] == g[x], {x, -1.13, -1.12}, WorkingPrecision -> 110]
%t A199155 RealDigits[r]  (* A199154 *)
%t A199155 r = x /. FindRoot[f[x] == g[x], {x, .55, .56}, WorkingPrecision -> 110]
%t A199155 RealDigits[r]  (* A199155 *)
%Y A199155 Cf. A198866.
%K A199155 nonn,cons
%O A199155 0,1
%A A199155 _Clark Kimberling_, Nov 03 2011