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 A199266 Decimal expansion of x>0 satisfying 2*x^2+x*cos(x)=2. 3

%I

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

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

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

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

%C See A199170 for a guide to related sequences. The Mathematica program includes a graph.

%e negative: -1.11586547417780092002590535253585579273...

%e positive: 0.84824964906603356449300167136536010515870...

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

%t f[x_] := a*x^2 + b*x*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, -1.2, -1.1}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199265 *)

%t r = x /. FindRoot[f[x] == g[x], {x, .84, .85}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199266 *)

%Y Cf. A199170.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 04 2011

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Last modified December 10 18:10 EST 2019. Contains 329901 sequences. (Running on oeis4.)