OFFSET
0,1
COMMENTS
Both roots have same magnitude: x = +-0.824132312302...
Fixed point of cos(x)/x function. - Michal Paulovic, Jun 13 2023
EXAMPLE
0.824132312302522422960956785771991108142689866748289991732...
MAPLE
Digits:=100; fsolve(cos(x)/x-x, x); # Michal Paulovic, Jun 13 2023
MATHEMATICA
RealDigits[FindRoot[Cos[x] == x^2, {x, {.7, 1}}, WorkingPrecision -> 120][[1, 2, 1]], 10, 111][[1]]
PROG
(PARI) solve(x=0, 1, cos(x)-x^2) \\ Charles R Greathouse IV, Apr 14 2014
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Denton J. Dailey (djd1497(AT)aol.com), Jan 03 2007
STATUS
approved