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A198986
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Decimal expansion of x>0 satisfying 4*x^2+3*cos(x)=4.
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2
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6, 2, 6, 4, 1, 9, 2, 4, 4, 3, 8, 2, 3, 3, 8, 2, 3, 8, 2, 8, 4, 6, 0, 4, 5, 1, 5, 4, 3, 9, 7, 2, 5, 1, 1, 8, 6, 0, 0, 3, 3, 3, 2, 8, 8, 8, 3, 2, 6, 8, 4, 1, 3, 0, 5, 5, 6, 8, 1, 9, 0, 2, 6, 2, 2, 5, 1, 8, 5, 6, 9, 6, 6, 0, 6, 7, 4, 4, 0, 1, 2, 8, 9, 1, 8, 1, 0, 1, 0, 8, 0, 7, 3, 1, 7, 9, 4, 4, 9
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OFFSET
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0,1
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COMMENTS
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See A198755 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=0.626419244382338238284604515439725118600333...
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MATHEMATICA
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a = 4; b = 3; c = 4;
f[x_] := a*x^2 + b*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .62, .63}, 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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