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A199160 Decimal expansion of x<0 satisfying 3*x^2+3*sin(x)=2. 3

%I

%S 1,2,7,3,9,4,1,9,1,9,4,1,1,5,8,3,3,2,7,0,3,4,0,8,4,7,4,3,4,2,0,5,5,6,

%T 4,3,5,0,6,1,2,3,1,9,6,7,6,0,7,9,9,5,6,6,7,9,1,1,7,0,7,2,4,3,0,1,8,8,

%U 8,5,2,0,2,7,1,7,7,1,6,1,8,8,7,3,5,7,7,5,9,0,0,0,6,9,7,4,9,2,9

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

%C See A198866 for a guide to related sequences. The Mathematica program includes a graph.

%e negative: -1.27394191941158332703408474342055643506123...

%e positive: 0.466106421683196411148081035304500630437462...

%t a = 3; b = 3; c = 2;

%t f[x_] := a*x^2 + b*Sin[x]; g[x_] := c

%t Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, -1.3, -1.2}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199160 *)

%t r = x /. FindRoot[f[x] == g[x], {x, .46, .47}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199161 *)

%Y Cf. A198866.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 03 2011

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Last modified October 17 13:28 EDT 2021. Contains 348049 sequences. (Running on oeis4.)