

A199386


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


1



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

0,1


COMMENTS

See A199370 for a guide to related sequences. The Mathematica program includes a graph.


LINKS



EXAMPLE

x=0.799764413627447385117687714998744721300132882873...


MATHEMATICA

a = 2; b = 3; c = 3;
f[x_] := a*x^2 + b*x*Sin[x]; g[x_] := c
Plot[{f[x], g[x]}, {x, 1, Pi}, {AxesOrigin > {0, 0}}]
r = x /. FindRoot[f[x] == g[x], {x, .79, .80}, WorkingPrecision > 110]


CROSSREFS



KEYWORD



AUTHOR



STATUS

approved



