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%I #8 Apr 09 2021 15:49:31
%S 9,3,2,5,1,7,0,5,1,8,6,4,2,2,9,4,8,1,9,4,9,8,5,7,1,8,9,8,9,3,1,3,9,9,
%T 8,9,7,6,4,9,1,7,3,6,7,7,6,1,8,0,6,4,5,2,3,9,0,8,8,9,6,8,9,1,4,2,8,6,
%U 3,2,4,8,6,6,9,2,4,5,1,5,4,5,3,2,2,7,7,0,3,8,6,5,7,0,6,4,3,7,6
%N Decimal expansion of the lesser of two values of x satisfying 5*x^2 - 3 = tan(x) and 0 < x < Pi/2.
%C See A200614 for a guide to related sequences. The Mathematica program includes a graph.
%e lesser: 0.9325170518642294819498571898931399897649173...
%e greater: 1.43443679853106488271886435135433585034396681...
%t a = 5; c = 3;
%t f[x_] := a*x^2 - 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, .93, .94}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200624 *)
%t r = x /. FindRoot[f[x] == g[x], {x, 1.4, 1.5}, WorkingPrecision -> 110]
%t RealDigits[r] (* A200625 *)
%Y Cf. A200614.
%K nonn,cons
%O 0,1
%A _Clark Kimberling_, Nov 20 2011