A198868 Decimal expansion of x>0 satisfying 3*x^2+cos(x)=2.
6, 3, 0, 3, 9, 8, 6, 6, 3, 9, 9, 3, 5, 9, 9, 3, 8, 6, 4, 4, 0, 7, 0, 4, 8, 6, 1, 7, 7, 7, 0, 4, 4, 9, 9, 2, 6, 7, 8, 5, 0, 2, 5, 1, 7, 0, 1, 8, 1, 0, 1, 7, 6, 8, 6, 5, 4, 9, 2, 6, 9, 1, 3, 0, 8, 5, 9, 5, 7, 8, 9, 5, 0, 6, 9, 5, 6, 0, 2, 9, 7, 5, 2, 9, 0, 5, 7, 4, 3, 9, 9, 3, 8, 4, 7, 4, 9, 5, 6
Offset: 0
Examples
0.63039866399359938644070486177704499...
Crossrefs
Cf. A198755.
Programs
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Mathematica
a = 3; b = 1; c = 2; f[x_] := a*x^2 + b*Cos[x]; g[x_] := c Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}] r = x /. FindRoot[f[x] == g[x], {x, .6, .7}, WorkingPrecision -> 110] RealDigits[r] (* A198868 *)
Comments