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A199289 Decimal expansion of x<0 satisfying 3*x^2+2*x*cos(x)=3. 3

%I

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

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

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

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

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

%e negative: -1.1465729939312446659051094914162065825...

%e positive: 0.79310716512209201308469669867166689386...

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

%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] (* A199289 *)

%t r = x /. FindRoot[f[x] == g[x], {x, .79, .80}, WorkingPrecision -> 110]

%t RealDigits[r] (* A199290 *)

%Y Cf. A199170.

%K nonn,cons

%O 1,3

%A _Clark Kimberling_, Nov 05 2011

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Last modified February 25 12:01 EST 2020. Contains 332233 sequences. (Running on oeis4.)