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A198870 Decimal expansion of x>0 satisfying 2*x^2+3*cos(x)=4. 2

%I

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

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

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

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

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

%e x=1.216238809466393290599625767029343291154470...

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

%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, 1.2, 1.3}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198870 *)

%Y Cf. A198755.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Oct 31 2011

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Last modified May 20 23:05 EDT 2022. Contains 353886 sequences. (Running on oeis4.)