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

%I #5 Mar 30 2012 18:58:01

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

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

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

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

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

%e x=0.8175892391032784394479031605451506794071749...

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

%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, .8, .9}, WorkingPrecision -> 110]

%t RealDigits[r] (* A200585 *)

%Y Cf. A200338.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 19 2011