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A199288 Decimal expansion of x>0 satisfying 3*x^2+2*x*cos(x)=2. 3

%I

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

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

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

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

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

%e negative: -1.01209273887228943407465426872436881...

%e positive: 0.584532490790406304533696640011179337...

%t a = 3; b = 2; 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, -1.1, -1}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199287 *)

%t r = x /. FindRoot[f[x] == g[x], {x, .58, .59}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199288 *)

%Y Cf. A199170.

%K nonn,cons

%O 0,1

%A _Clark Kimberling_, Nov 05 2011

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Last modified February 28 11:08 EST 2020. Contains 332323 sequences. (Running on oeis4.)