|
|
A199082
|
|
Decimal expansion of x < 0 satisfying x^2 + 2*sin(x) = 2.
|
|
3
|
|
|
1, 9, 6, 1, 8, 8, 4, 2, 4, 6, 4, 1, 0, 8, 3, 4, 8, 9, 3, 4, 1, 9, 2, 8, 0, 7, 7, 9, 7, 7, 4, 8, 9, 4, 2, 6, 8, 2, 5, 7, 4, 7, 1, 2, 0, 7, 1, 2, 7, 2, 1, 8, 6, 6, 5, 5, 2, 0, 8, 9, 8, 6, 8, 6, 9, 2, 3, 2, 5, 8, 8, 5, 0, 6, 8, 5, 9, 0, 3, 7, 8, 4, 0, 1, 3, 8, 9, 0, 9, 6, 5, 8, 4, 8, 8, 1, 9, 0, 4
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
See A198866 for a guide to related sequences. The Mathematica program includes a graph.
|
|
LINKS
|
|
|
EXAMPLE
|
negative: -1.96188424641083489341928077977489...
positive: 0.77498081442304344595859350247040...
|
|
MATHEMATICA
|
a = 1; b = 2; 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, -1.97, -1.96}, WorkingPrecision -> 110]
r = x /. FindRoot[f[x] == g[x], {x, .77, .78}, WorkingPrecision -> 110]
|
|
PROG
|
(PARI) a=1; b=2; c=2; solve(x=-2, 0, a*x^2 + b*sin(x) - c) \\ G. C. Greubel, Feb 20 2019
(Sage) a=1; b=2; c=2; (a*x^2 + b*sin(x)==c).find_root(-2, 0, x) # G. C. Greubel, Feb 20 2019
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|