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A199060 Decimal expansion of x<0 satisfying 3*x^2+sin(x)=1.

%I A199060 #8 Feb 07 2025 16:44:05
%S A199060 7,4,8,4,4,2,4,4,7,0,1,5,8,1,1,1,5,4,6,4,3,5,9,6,4,6,5,0,1,0,4,0,6,2,
%T A199060 7,4,4,1,5,8,5,8,8,0,9,8,3,8,9,2,3,8,8,0,8,4,0,2,0,7,3,0,4,5,2,3,4,2,
%U A199060 2,2,8,0,1,9,1,4,8,7,9,1,9,6,0,5,7,2,5,9,8,1,3,8,6,1,8,1,5,5,2
%N A199060 Decimal expansion of x<0 satisfying 3*x^2+sin(x)=1.
%C A199060 See A198866 for a guide to related sequences. The Mathematica program includes a graph.
%H A199060 <a href="/index/Tra#transcendental">Index entries for transcendental numbers</a>.
%e A199060 negative: -0.74844244701581115464359646501040627441...
%e A199060 positive:  0.438095897421340452730722590365445642407...
%t A199060 a = 3; b = 1; c = 1;
%t A199060 f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
%t A199060 Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
%t A199060 r = x /. FindRoot[f[x] == g[x], {x, -.75, -.74}, WorkingPrecision -> 110]
%t A199060 RealDigits[r](* A199060 *)
%t A199060 r = x /. FindRoot[f[x] == g[x], {x, .43, .44}, WorkingPrecision -> 110]
%t A199060 RealDigits[r](* A199077 *)
%Y A199060 Cf. A198866.
%K A199060 nonn,cons
%O A199060 0,1
%A A199060 _Clark Kimberling_, Nov 03 2011