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A198140
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Decimal expansion of least x having x^2-2x=-3*cos(x). Decimal expansion of greatest x having x^2-2x=-3*cos(x).
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3
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1, 2, 5, 3, 6, 1, 0, 6, 2, 9, 1, 6, 6, 5, 3, 9, 5, 8, 6, 3, 0, 7, 8, 4, 2, 4, 6, 6, 9, 4, 5, 2, 8, 3, 6, 2, 9, 0, 4, 8, 3, 2, 4, 7, 5, 0, 4, 3, 8, 3, 7, 1, 0, 9, 8, 0, 1, 6, 4, 0, 4, 1, 5, 6, 2, 6, 9, 3, 3, 9, 6, 8, 3, 2, 5, 3, 3, 8, 1, 0, 4, 3, 4, 3, 6, 1, 8, 3, 7, 6, 4, 0, 4, 0, 0, 9, 1, 3, 8
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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: 1.25361062916653958630784246694528362...
greatest x: 2.99155642389786356257272264824822031...
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MATHEMATICA
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a = 1; b = -2; c = -3;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -1, 4}]
r1 = x /. FindRoot[f[x] == g[x], {x, 1.25, 1.26}, WorkingPrecision -> 110]
r2 = x /. FindRoot[f[x] == g[x], {x, 2.9, 3.0}, 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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