A198225 Decimal expansion of greatest x having 3*x^2+2x=2*cos(x).

5, 0, 0, 8, 6, 6, 3, 1, 0, 2, 5, 3, 0, 1, 1, 7, 6, 9, 7, 9, 0, 8, 0, 2, 7, 5, 4, 6, 9, 4, 6, 5, 6, 3, 3, 0, 3, 2, 1, 5, 5, 6, 9, 7, 4, 9, 5, 5, 9, 5, 6, 2, 7, 5, 7, 4, 5, 2, 1, 3, 3, 0, 3, 1, 2, 7, 4, 0, 4, 8, 0, 4, 4, 3, 8, 4, 7, 3, 5, 1, 5, 1, 5, 2, 3, 9, 2, 8, 1, 5, 2, 3, 5, 5, 3, 9, 3, 0, 5

Offset: 0

Author

Clark Kimberling, Oct 22 2011

Keywords

• nonn
• cons

Comments

See A197737 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			least x: -1.014060582687901072214777706552979973...
greatest x: 0.500866310253011769790802754694656330...
		

Crossrefs

Cf. A197737.

Programs

Mathematica

a = 3; b = 2; c = 2;
f[x_] := a*x^2 + b*x; g[x_] := c*Cos[x]
Plot[{f[x], g[x]}, {x, -2, 1}]
r1 = x /. FindRoot[f[x] == g[x], {x, -1.02, -1.01}, WorkingPrecision -> 110]
RealDigits[r1]  (* A198224 *)
r2 = x /. FindRoot[f[x] == g[x], {x, .5, .51}, WorkingPrecision -> 110]
RealDigits[r2]  (* A198225 *)