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A198607
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Decimal expansion of x < 0 satisfying 3*x^2 + 4*x = 2*sin(x).
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2
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7, 2, 3, 2, 9, 3, 0, 7, 1, 3, 3, 5, 8, 5, 3, 3, 3, 5, 5, 3, 5, 0, 3, 6, 4, 9, 3, 2, 0, 9, 7, 8, 9, 7, 3, 9, 2, 7, 4, 5, 7, 0, 7, 8, 4, 4, 6, 8, 6, 3, 6, 1, 1, 2, 1, 8, 6, 2, 4, 7, 0, 9, 5, 8, 5, 8, 9, 2, 7, 1, 6, 0, 6, 5, 6, 3, 9, 9, 5, 8, 3, 0, 5, 0, 9, 6, 3, 5, 9, 8, 5, 3, 8, 2, 7, 8, 0, 0, 4
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OFFSET
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0,1
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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 = -0.723293071335853335535036493209789739274570...
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MATHEMATICA
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a = 3; b = 4; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Sin[x]
Plot[{f[x], g[x]}, {x, -1, .1}]
r = x /. FindRoot[f[x] == g[x], {x, -.73, -.72}, WorkingPrecision -> 110]
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PROG
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(PARI) solve(x=-1, -0.5, 3*x^2 + 4*x - 2*sin(x)) \\ Iain Fox, Dec 26 2017
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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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