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A198814 Decimal expansion of x>0 satisfying x^2+4*cos(x)=3. 2

%I

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

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

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

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

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

%e x=1.117890587756753759796887169579162956186...

%t a = 1; b = 4; c = 3;

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

%t Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]

%t r = x /. FindRoot[f[x] == g[x], {x, 1.1, 1.2}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198814 *)

%Y Cf. A198755.

%K nonn,cons

%O 1,4

%A _Clark Kimberling_, Oct 30 2011

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Last modified August 1 11:07 EDT 2021. Contains 346385 sequences. (Running on oeis4.)