A199282 Decimal expansion of x>0 satisfying 3*x^2+x*cos(x)=2.

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

Offset: 0

Author

Clark Kimberling, Nov 05 2011

Keywords

• nonn
• cons

Comments

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

Examples

			negative: -0.923207967022272918085370562946372...
positive:  0.6988053514945826378907251192096740...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A199170.

Programs

Mathematica

a = 3; b = 1; c = 2;
f[x_] := a*x^2 + b*x*Cos[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -1, 1}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1, -.9}, WorkingPrecision -> 110]
RealDigits[r]     (* A199281 *)
r = x /. FindRoot[f[x] == g[x], {x, .69, .70}, WorkingPrecision -> 110]
RealDigits[r]     (* A199282 *)