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A198920
Decimal expansion of x>0 satisfying 3*x^2+2*cos(x)=4.
2
9, 8, 1, 1, 2, 6, 2, 8, 6, 1, 2, 9, 8, 8, 1, 3, 0, 3, 9, 4, 1, 3, 7, 9, 5, 4, 3, 1, 7, 8, 2, 7, 7, 3, 1, 0, 6, 2, 2, 6, 8, 7, 1, 6, 2, 7, 1, 7, 8, 0, 4, 4, 2, 6, 3, 3, 5, 4, 2, 8, 3, 6, 0, 4, 5, 5, 9, 0, 1, 5, 3, 7, 3, 9, 7, 2, 6, 3, 7, 3, 9, 1, 1, 0, 1, 7, 7, 4, 8, 3, 5, 6, 9, 0, 3, 7, 1, 1, 6
OFFSET
0,1
COMMENTS
See A198755 for a guide to related sequences. The Mathematica program includes a graph.
EXAMPLE
x=0.981126286129881303941379543178277310622...
MATHEMATICA
a = 3; b = 2; c = 4;
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, .98, .99}, WorkingPrecision -> 110]
RealDigits[r] (* A198920 *)
CROSSREFS
Cf. A198755.
Sequence in context: A343469 A261813 A373863 * A354593 A244115 A053004
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Oct 31 2011
STATUS
approved