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A199666
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Decimal expansion of x<0 satisfying 3*x+2*cos(x)=0.
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2
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5, 6, 3, 5, 6, 9, 2, 0, 4, 2, 2, 5, 5, 1, 5, 6, 4, 2, 4, 9, 0, 5, 0, 1, 8, 0, 7, 1, 3, 5, 1, 3, 2, 0, 4, 5, 0, 6, 1, 0, 7, 4, 4, 7, 2, 4, 3, 2, 6, 8, 7, 2, 9, 5, 8, 0, 3, 4, 8, 3, 5, 5, 1, 2, 7, 8, 6, 1, 1, 1, 5, 2, 8, 6, 2, 5, 9, 0, 0, 1, 3, 7, 8, 1, 1, 0, 6, 7, 0, 2, 5, 4, 8, 3, 7, 3, 1, 6, 9
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OFFSET
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0,1
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COMMENTS
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See A199597 for a guide to related sequences. The Mathematica program includes a graph.
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LINKS
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EXAMPLE
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x=-0.563569204225515642490501807135132045061074472...
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MATHEMATICA
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a = 3; b = 2; c = 0;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, 1.5}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -.57, -.56}, WorkingPrecision -> 110]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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