%I #7 Aug 09 2021 07:49:55

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

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

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

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

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

%e x=1.13539006702691720736542383976458000040...

%t a = 2; b = 1; c = 3;

%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, 1.3, 1.4}, WorkingPrecision -> 110]

%t RealDigits[r] (* A198827 *)

%Y Cf. A198755.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Oct 31 2011