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A198868 Decimal expansion of x>0 satisfying 3*x^2+cos(x)=2. 2

%I

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

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

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

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

%C See A198755 for a guide to related sequences. The Mathematica program includes a graph.

%e x=0.63039866399359938644070486177704499...

%t a = 3; b = 1; c = 2;

%t f[x_] := a*x^2 + b*Cos[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, .6, .7}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198868 *)

%Y Cf. A198755.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Oct 31 2011

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Last modified January 23 03:15 EST 2022. Contains 350504 sequences. (Running on oeis4.)