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A198234
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Decimal expansion of least x having 3*x^2+3x=4*cos(x).
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3
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1, 2, 8, 8, 3, 8, 9, 2, 3, 7, 3, 2, 2, 8, 2, 6, 9, 2, 0, 4, 4, 6, 9, 5, 3, 7, 6, 1, 9, 8, 4, 1, 5, 2, 6, 3, 6, 5, 4, 6, 9, 2, 7, 5, 3, 7, 0, 8, 5, 4, 5, 5, 9, 2, 9, 1, 2, 6, 9, 9, 7, 2, 0, 6, 3, 6, 3, 3, 2, 7, 2, 4, 5, 6, 6, 2, 9, 8, 9, 2, 8, 5, 0, 3, 6, 9, 9, 0, 3, 4, 9, 0, 3, 7, 6, 8, 8, 6, 0
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OFFSET
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1,2
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COMMENTS
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See A197737 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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least x: -1.28838923732282692044695376198415263654...
greatest x: 0.646435567527722588379133828108743889...
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MATHEMATICA
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a = 3; b = 3; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -2, 1}]
r1 = x /. FindRoot[f[x] == g[x], {x, -1.3, -1.2}, WorkingPrecision -> 110]
r2 = x /. FindRoot[f[x] == g[x], {x, .64, .65}, 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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