A199272 Decimal expansion of x>0 satisfying 2*x^2+2*x*cos(x)=3.

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

Offset: 0

Author

Clark Kimberling, Nov 04 2011

Keywords

• nonn
• cons

Comments

See A199170 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			negative: -1.342905122329356157795629258382825825170...
positive:  0.976312273615130123076470141335091567967...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199170.

Programs

Mathematica

a = 2; b = 2; c = 3;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -3, 3}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1.35, -1.34}, WorkingPrecision -> 110]
RealDigits[r]   (* A199271 *)
r = x /. FindRoot[f[x] == g[x], {x, .97, .98}, WorkingPrecision -> 110]
RealDigits[r]   (* A199272 *)