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A198612 Decimal expansion of x < 0 satisfying 2*x^2+4*x = 3*sin(x). 2

%I #7 Aug 01 2021 11:04:09

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

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

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

%N Decimal expansion of x < 0 satisfying 2*x^2+4*x = 3*sin(x).

%C See A198414 for a guide to related sequences. The Mathematica program includes a graph.

%e -0.583751720021709529613886709898034230905334...

%t a = 2; b = 4; c = 3;

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

%t Plot[{f[x], g[x]}, {x, -1, .1}]

%t r = x /. FindRoot[f[x] == g[x], {x, -.6, .5}, WorkingPrecision -> 110]

%t RealDigits[r](* A198612 *)

%Y Cf. A198414.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 28 2011

%E Offset corrected by _Georg Fischer_, Aug 01 2021

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Last modified September 11 17:54 EDT 2024. Contains 375839 sequences. (Running on oeis4.)