A199070 Decimal expansion of x>0 satisfying 2*x^2+2*sin(x)=3.

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

Offset: 0

Author

Clark Kimberling, Nov 02 2011

Keywords

• nonn
• cons

Comments

See A198866 for a guide to related sequences. The Mathematica program includes a graph.

Examples

			negative: -1.58112197220741191831288311802822735850...
positive:  0.86107767473955299024198236567037763109430...
		

Links

• Index entries for transcendental numbers.

Crossrefs

Cf. A198866.

Programs

Mathematica

a = 2; b = 2; c = 3;
f[x_] := a*x^2 + b*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, -2, 2}, {AxesOrigin -> {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, -1.6, -1.5}, WorkingPrecision -> 110]
RealDigits[r](* A199069 *)
r = x /. FindRoot[f[x] == g[x], {x, .86, .87}, WorkingPrecision -> 110]
RealDigits[r] (* A199070 *)