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A198105
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Decimal expansion of greatest x having x^2+3x=2*cos(x).
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3
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5, 0, 1, 0, 4, 1, 1, 8, 6, 4, 4, 6, 4, 9, 0, 3, 8, 3, 3, 1, 5, 1, 4, 1, 7, 7, 9, 0, 6, 6, 3, 4, 6, 4, 9, 7, 8, 6, 0, 8, 4, 9, 9, 1, 4, 5, 4, 4, 5, 0, 9, 0, 6, 7, 8, 0, 4, 3, 2, 0, 5, 8, 4, 4, 4, 6, 2, 6, 3, 3, 0, 2, 7, 0, 5, 5, 2, 4, 7, 0, 5, 3, 4, 5, 8, 4, 0, 1, 6, 9, 4, 5, 2, 2, 4, 9, 1, 2, 8
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OFFSET
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0,1
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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: -2.38894934360890459687043267819730...
greatest x: 0.5010411864464903833151417790663...
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MATHEMATICA
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a = 1; b = 3; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -3, 1}]
r1 = x /. FindRoot[f[x] == g[x], {x, -2.4, -2.3}, WorkingPrecision -> 110]
r2 = x /. FindRoot[f[x] == g[x], {x, .5, .51}, 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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