A198827 Decimal expansion of x>0 satisfying 2*x^2+cos(x)=3.
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, 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, 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
Offset: 1
Examples
1.13539006702691720736542383976458000040...
Crossrefs
Cf. A198755.
Programs
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Mathematica
a = 2; b = 1; c = 3; 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, 1.3, 1.4}, WorkingPrecision -> 110] RealDigits[r] (* A198827 *)
Comments