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 A199174 Decimal expansion of x < 0 satisfying x^2 + x*cos(x) = 3. 3
 1, 6, 7, 8, 9, 2, 9, 7, 6, 3, 4, 9, 1, 0, 9, 4, 5, 1, 9, 5, 9, 3, 3, 8, 3, 2, 0, 1, 1, 6, 3, 4, 3, 2, 9, 9, 8, 5, 9, 3, 3, 0, 5, 0, 1, 6, 7, 2, 8, 7, 8, 3, 6, 4, 3, 7, 0, 8, 7, 6, 3, 6, 2, 7, 1, 0, 4, 2, 4, 6, 7, 1, 9, 7, 2, 8, 5, 9, 8, 6, 2, 7, 2, 6, 2, 8, 3, 8, 6, 4, 2, 6, 8, 1, 6, 2, 9, 3, 8, 8, 9, 8, 8 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS See A199170 for a guide to related sequences.  The Mathematica program includes a graph. LINKS EXAMPLE negative: -1.67892976349109451959338320116343299... positive:  1.90253038503823570345779582773972676... MATHEMATICA a = 1; b = 1; c = 3; f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c Plot[{f[x], g[x]}, {x, -2 Pi, 2 Pi}, {AxesOrigin -> {0, 0}}] r = x /. FindRoot[f[x] == g[x], {x, -1.7, -1.6}, WorkingPrecision -> 110] RealDigits[r]   (* A199174 *) r = x /. FindRoot[f[x] == g[x], {x, 1.90, 1.91}, WorkingPrecision -> 110] RealDigits[r]  (* A199175 *) CROSSREFS Cf. A199170, A199175. Sequence in context: A308147 A308165 A090928 * A335094 A153604 A324031 Adjacent sequences:  A199171 A199172 A199173 * A199175 A199176 A199177 KEYWORD nonn,cons AUTHOR Clark Kimberling, Nov 04 2011 EXTENSIONS a(84) onwards corrected by Georg Fischer, Aug 03 2021 STATUS approved

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Last modified January 19 05:41 EST 2022. Contains 350464 sequences. (Running on oeis4.)