A198612 Decimal expansion of x < 0 satisfying 2*x^2+4*x = 3*sin(x).
5, 8, 3, 7, 5, 1, 7, 2, 0, 0, 2, 1, 7, 0, 9, 5, 2, 9, 6, 1, 3, 8, 8, 6, 7, 0, 9, 8, 9, 8, 0, 3, 4, 2, 3, 0, 9, 0, 5, 3, 3, 4, 0, 5, 3, 1, 9, 8, 2, 9, 5, 6, 1, 4, 4, 6, 8, 3, 3, 3, 3, 1, 3, 5, 4, 6, 3, 9, 5, 7, 2, 4, 3, 8, 3, 5, 0, 4, 3, 0, 5, 3, 8, 1, 7, 1, 7, 1, 1, 6, 0, 3, 6, 1, 7, 7, 3, 8, 6
Offset: 0
Examples
-0.583751720021709529613886709898034230905334...
Crossrefs
Cf. A198414.
Programs
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Mathematica
a = 2; b = 4; c = 3; f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x] Plot[{f[x], g[x]}, {x, -1, .1}] r = x /. FindRoot[f[x] == g[x], {x, -.6, .5}, WorkingPrecision -> 110] RealDigits[r](* A198612 *)
Extensions
Offset corrected by Georg Fischer, Aug 01 2021
Comments