OFFSET
1,2
COMMENTS
See A198866 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
negative: -1.5811135842680126236235133011318966...
positive: 0.5132747777025682345171850420249902...
MATHEMATICA
a = 2; b = 3; c = 2;
f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1.6, -1.5}, WorkingPrecision -> 110]
RealDigits[r](* A199073 *)
r = x /. FindRoot[f[x] == g[x], {x, .51, .52}, WorkingPrecision -> 110]
RealDigits[r](* A199074 *)
PROG
(PARI) solve(x=1, 2, 2*x^2-3*sin(x)-2) \\ Charles R Greathouse IV, Dec 06 2016
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Nov 03 2011
STATUS
approved