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A198569
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Decimal expansion of x>0 satisfying 2*x^2-3x=4*sin(x).
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2
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2, 2, 1, 8, 7, 2, 9, 3, 7, 4, 8, 7, 5, 6, 3, 8, 2, 6, 7, 3, 3, 6, 7, 8, 2, 5, 8, 6, 8, 3, 7, 6, 2, 5, 7, 1, 8, 9, 2, 0, 1, 6, 5, 0, 0, 6, 8, 2, 0, 5, 8, 6, 4, 3, 0, 3, 9, 0, 7, 6, 1, 4, 0, 5, 4, 5, 9, 4, 1, 9, 4, 9, 4, 4, 1, 4, 5, 2, 5, 3, 9, 5, 4, 4, 7, 7, 1, 5, 3, 9, 8, 5, 8, 2, 2, 8, 6, 0, 4
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OFFSET
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1,1
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COMMENTS
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See A198414 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=2.21872937487563826733678258683762571892016...
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MATHEMATICA
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a = 2; b = -3; c = 4;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -.2, 2.4}]
r = x /. FindRoot[f[x] == g[x], {x, 2.21, 2.22}, 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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