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A200502 Decimal expansion of least x>0 satisfying 2*x^2-3*x+4=tan(x). 2

%I

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

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

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

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

%C See A200338 for a guide to related sequences. The Mathematica program includes a graph.

%e x=1.28916812538376042494215146120892522462960660...

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

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

%t Plot[{f[x], g[x]}, {x, -.1, Pi/2}, {AxesOrigin -> {0, 0}}]

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

%t RealDigits[r] (* A200502 *)

%Y Cf. A200338.

%K nonn,cons

%O 1,2

%A _Clark Kimberling_, Nov 19 2011

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Last modified September 17 19:02 EDT 2019. Contains 327137 sequences. (Running on oeis4.)